Practice Test on Area and Perimeter of Square

In math practice test on area and perimeter of square the questions are given below.

1. Find the perimeter, area and length of the diagonal of a square whose sides are …………..

  (a) 12 cm

  (b) 9.5 cm 

  (c) 2.8 m

  (d) 15 dm 


2. Find the area of square whose diagonals are …………

  (a) 1.4 m 

  (b) 30 cm

  (c) 3.2 cm 

3. The perimeter of a square is 96 cm. Find the area and the length of the diagonal. 


4. The area of a square is 289 cm². Find its perimeter and the length of the diagonal.

5. The diagonal of a square is 9√2cm. Find its area and perimeter.

6. The diagonal of a square is 20 cm. Find the side of the square and its perimeter.

7. A square field has the area 8.41 ares. Find the cost of putting the fence around it at the rate of $8 per m. (Hint: 1 Are = 100 m²)

8. The cost of cementing a square courtyard at $2.75 per square m is $1100. Find the cost of fencing it at the rate of $5.50 per metre.

9. The area of a square and rectangle are equal. If the side of the square is 35 cm and the length of the rectangle is 45 cm, find the breadth and perimeter of the rectangle.

10. A wire is in shape of a square of side 12 cm. It is again bent into a rectangle of length 15 cm. Find its breadth. Which encloses more area and how much more?

Answers for practice test on area and perimeter of square are given below to check the exact answers of the above questions.

Answers:


1. (a) P = 48 cm, A = 144 cm², d = 16.968 cm

(b) P = 38 cm, A = 90.25 cm², d = 13.433 cm

(c) P = 11.2 m, A = 7.84 m², d = 3.9592 m

(d) P = 60 dm, A = 225 dm², d = 21.21 dm


2. (a) 0.98 m²

(b) 450 cm²

(c) 5.12 cm²


3. A = 576 cm², d = 33.936 cm

4. P = 68 cm, d = 24.038 cm

5. A = 81 cm², P = 36 cm

6. Side = 14.14 cm, P = 56.56 cm

7. $928

8. $440

9. b = 27.22 cm, P = 144.44 cm

10. b = 9 cm, square, 9 cm²

● Mensuration

Area and Perimeter

Perimeter and Area of Rectangle

Perimeter and Area of Square

Area of the Path

Area and Perimeter of the Triangle

Area and Perimeter of the Parallelogram

Area and Perimeter of Rhombus

Area of Trapezium

Circumference and Area of Circle

Units of Area Conversion

Practice Test on Area and Perimeter of Rectangle

Practice Test on Area and Perimeter of Square


 Mensuration - Worksheets

Worksheet on Area and Perimeter of Rectangles

Worksheet on Area and Perimeter of Squares

Worksheet on Area of the Path

Worksheet on Circumference and Area of Circle

Worksheet on Area and Perimeter of Triangle










7th Grade Math Problems

8th Grade Math Practice

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