# Word Problems on Area and Perimeter

We will solve different types of word problems on area and perimeter.

1. The perimeter of a rectangular field is 260 m. If its length is 90 m, find its breadth.

Solution:

Perimeter of a rectangle = 2(b + ℓ)

⟹ 260m = 2(b + 90 m)

⟹ 260 m = 2b + 180 m

⟹ (260 - 180) m = 2b

⟹ 80 m = 2b

⟹ 2b = 80 m

⟹ b = $$\frac{80}{2}$$ m

⟹ b = 40 m

Hence, the breadth of the rectangular field = 40 m

2. Find the cost of fencing a square park of side 250 m at the rate of $20 per metre. Solution: Side of the park = 250 m To calculate the cost of fencing, we require perimeter. Perimeter of the square = 4 × one side = 4 × 250 m = 1000 m Now, the total cost of fencing the park =$ 20 × 1000 = $20000 3. The side of a square plot of land is 35 m. Find the cost of levelling the plot, if the rate is$ 4 per square metre.

Solution:

Area of square = side × side

= 35 m × 35 m

= 1225 cm²

Levelling cost of 1 m² = $4 Levelling cost of 1225 m² =$ (4 × 1225)

= $4900 4. How many tiles, each measuring 2 m by 1 m, are required to cover a rectangular hall 12 m long and 8 m broad? Find the cost of tiles at$ 25 per tile.

Solution:

Length of a tile = 2 m

Breadth of a tile = 1 m

Therefore, Area of each tile = 2 m × 1 m

= 2 m²

Length of rectangular hall = 12 m

Breadth of rectangular hall = 8 m

Area of the hall = 12 m × 8 m

= 96 m²

Hence, number of tiles required

= $$\frac{\textrm{Area of the hall}}{\textrm{Area of one tile}}$$

= $$\frac{96}{2}$$

Therefore, Cost of tiles 48 × $25 =$ 1200

### Worksheet on Word Problems on Area and Perimeter:

1. The sides of a triangular field are 20 cm, 15 cm, and 12 cm. Find the total distance travelled by a boy in taking 2 complete rounds of this field.

1. 94 cm

2. The length and breadth of a rectangular park are 615 m and 550 m, respectively. Find the cost of fencing the park at the rate of $9.25 per metre. Answer: 2.$ 21552.5

3. The length of a piece of wire is 78 m. If the wire is used to make a regular pentagon and a regular hexagon, find the difference in the lengths of its sides.

3. 15.6 m - 13 m = 2.6 m

4. Find the length of a side of an equilateral triangle whose perimeter is 3 m 12 cm.

4. 1.04 m

5. Stephen takes 2 rounds of a square park of side 135 m and Olivia takes 3 rounds of a rectangular park of length 70 m and breadth 45 m. Who covers more distance and by how much?

5. Stephen; 390 m

6. Find the length of a rectangular park whose area is 204 sq m and breadth is 12 m.

6. Length of a rectangular park = 17 m

7. The perimeter of a rectangular park is 270 m. If its length is 75 m, what will be its breadth?

Also calculate the area of this rectangular park.

Area of the rectangular park = 4500 m²

8. Find the area of a square if the length of its sides is doubled. Also, find the ratio of new area to its previous area.

8. Area of the new square becomes 4 times when side is doubled.

Ratio of new area to its previous area = 4 : 1.

9. Two rectangles of length ℓ and breadth b are placed side by side along the length without any gap. Find the area of the new rectangle thus formed.

9. Area of the new rectangle = 2ℓ × b = 2ℓb

10. The floor of a hall is completely covered by 25 carpets, each measuring 40 m × 2.5 m. What is the area of the floor?

10. Area of the floor = 2500 m²

## You might like these

• ### Worksheet on Area | Test on Area | Home work on Area | Quiz on Area

In worksheet on area we will solve different types of question in area. 1. Find the area of a rectangle of length 24 cm and breadth 13 cm. 2. Find the area of a square of side 40 cm. 3. Find the area of a square of side 21 m.

• ### Area | Units to find Area | Conversion Table of Area | Two Dimensional

The amount of surface that a plane figure covers is called its area. It’s unit is square centimeters or square meters etc. A rectangle, a square, a triangle and a circle are all examples of closed plane figures. In the following figures, the shaded region of each of the

• ### Area of a Rectangle | Area of Rectangle = Length × Breadth | Examples

Area of a rectangle is discussed here. We know, that a rectangle has length and breadth. Let us look at the rectangle given below. Each rectangle is made of squares. The side of each square is 1 cm long. The area of each square is 1 square centimeter.

• ### Area of a Square | Area of a Square = (Side × Side) Square Units

In area of a square we will learn how to find the area by counting squares. To find the area of a region of a closed plane figure, we draw the figure on a centimeter squared paper and then count the number of squares enclosed by the figure. We know, that square is

• ### Areas of Irregular Figures | Area of Irregular Shapes | Free Worksheet

Areas of irregular figures can be determined by dividing the figure into squares and rectangles. Some irregular figures are made of rectangular or square regions. The areas of such irregular figures can be determined by calculating the areas of these rectangles and squares.

• ### Worksheet on Area and Perimeter of Rectangles | Word Problems |Answers

Recall the topic and practice the math worksheet on area and perimeter of rectangles. Students can practice the questions on area of rectangles and perimeter of rectangles. 1. Find the area and perimeter of the following rectangles whose dimensions are: (a) length = 17 m

• ### Worksheet on Area of a Square and Rectangle | Area of Squares & Rectan

We will practice the questions given in the worksheet on area of a square and rectangle. We know the amount of surface that a plane figure covers is called its area. 1. Find the area of the square length of whose sides are given below: (i) 15 m (ii) 250 m (iii) 25 cm

• ### Worksheet on Perimeter | Perimeter of Squares and Rectangle | Answers

Practice the questions given in the worksheet on perimeter. The questions are based on finding the perimeter of the triangle, perimeter of the square, perimeter of rectangle and word problems. I. Find the perimeter of the triangles having the following sides.

• ### Perimeter and Area of Plane Figures | Definition of Perimeter and Area

A plane figure is made of line segments or arcs of curves in a plane. It is a closed figure if the figure begins and ends at the same point. We are familiar with plane figures like squares, rectangles, triangles and circles. Definition of Perimeter: The perimeter (P) of a

• ### Perimeter and Area of Irregular Figures | Solved Example Problems

Here we will get the ideas how to solve the problems on finding the perimeter and area of irregular figures. The figure PQRSTU is a hexagon. PS is a diagonal and QY, RO, TX and UZ are the respective distances of the points Q, R, T and U from PS. If PS = 600 cm, QY = 140 cm

• ### Mental Math on Perimeter and Area | Maths Questions Answers

In mental math on perimeter and area we will solve different type of problems on perimeter of a triangle, perimeter of a square and a rectangle, area of a rectangle, area of a square and word problems on area.

• ### 5th Grade Area and Perimeter Worksheet | With Answers | Free Worksheet

In 5th Grade Area and Perimeter Worksheet you will get different types of questions on perimeter of a triangle, perimeter of a square, perimeter of a rectangle, shapes of different kinds with the same perimeter, word problems on perimeter of a rectangle, word problems on

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

## Recent Articles

1. ### Lines of Symmetry | Symmetry of Geometrical Figures | List of Examples

Aug 10, 24 04:59 PM

Learn about lines of symmetry in different geometrical shapes. It is not necessary that all the figures possess a line or lines of symmetry in different figures.

2. ### Symmetrical Shapes | One, Two, Three, Four & Many-line Symmetry

Aug 10, 24 02:25 AM

Symmetrical shapes are discussed here in this topic. Any object or shape which can be cut in two equal halves in such a way that both the parts are exactly the same is called symmetrical. The line whi…

Aug 10, 24 01:59 AM

In 6th grade math practice you will get all types of examples on different topics along with the step-by-step explanation of the solutions.

4. ### 6th Grade Algebra Worksheet | Pre-Algebra worksheets with Free Answers

Aug 10, 24 01:57 AM

In 6th Grade Algebra Worksheet you will get different types of questions on basic concept of algebra, questions on number pattern, dot pattern, number sequence pattern, pattern from matchsticks, conce…