Problems on Size Transformation

Here we will solve different types of problems on size transformation.

1. A map of a rectangular park is drawn to a scale of 1 : 5000.

(i) Find the actual length of the park if the length of the same in the map is 25 cm.

(ii) If the actual width of the park is 1 km, find its width in the map.

Solution:

(i) Given scale = 1 : 5000

Let the actual length of the park be p

Therefore, Length in MapActual Length of the Park = 15000

25cmp = 15000

⟹ p = 25 × 5000 cm

⟹ p = 125000 cm

⟹ p = 125000 × 105 km

⟹ p = 1.25 km


(ii) Let the width in the map be q

Therefore, Width in MapActual Width = 15000

q1km = 15000

⟹ q = 1km5000

⟹ q = 1×1055000 cm

⟹ q = 20 cm


2. The length of a building is 40 m and the length of its model is 50 cm. Find the area of the terrace of the building if the area of the terrace in the model is 1400 cm2.

Solution:

Let the scale factor = k

Therefore, k = Length of the BuildingLength of the Model

          = 40m50cm

          = 40×100cm50cm

          = 80 cm

Let the area of the terrace of the building = a

Area of the Terrace of the BuildingArea of the Terrace in the Model = k2

Therefore, a1400cm2 = 80 × 80

⟹ a = 80 × 80 × 1400 cm2

⟹ a = 80×80×1400100×100 m2

⟹ a = 896 m2





9th Grade Math

From Problems on Size Transformation to HOME PAGE




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.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Subtracting 2-Digit Numbers Video | How to Subtract Two Digit Numbers?

    Apr 01, 25 02:15 AM

    Subtracting 2-Digit Numbers
    In subtracting 2-digit numbers we will subtract or minus a two-digit number from another two-digit number. To find the difference between the two numbers we need to ‘ones from ones’ and ‘tens from

    Read More

  2. PEMDAS Rule | Steps to Simplify the Order of Operation | Simple Rules

    Apr 01, 25 02:10 AM

    Easy and simple way to remember PEMDAS rule!! P → Parentheses first E → Exponent (Powers, Square Roots, Cube Roots, etc.) MD → Multiplication and Division (start from left to right) AS →

    Read More

  3. Worksheet on Simplification | Simplify Expressions | BODMAS Questions

    Apr 01, 25 01:59 AM

    In worksheet on simplification, the questions are based in order to simplify expressions involving more than one bracket by using the steps of removal of brackets. This exercise sheet

    Read More

  4. BODMAS Rule | Order of Operation | Definition, Examples, Problems

    Mar 31, 25 11:35 PM

    What is BODMAS Rule in Math?
    Easy and simple way to remember BODMAS rule!! B → Brackets first (parentheses) O → Of (orders i.e. Powers and Square Roots, Cube Roots, etc.) DM → Division and Multiplication

    Read More

  5. Subtracting 1-Digit Number | Subtract Two One-Digit Number | Video

    Mar 30, 25 10:16 AM

    Cross Out 6 Objects
    In subtracting 1-digit number we will subtract or minus one-digit number from one-digit number or one-digit number from 2-digit number and find the difference between them. We know that subtraction me…

    Read More