Tuesday
March 28, 2017

Post a New Question

Posted by on .

A rectangular room has an area of 120ft squared. Marge drew a scale drawing of the pool using the scale 1.5cm=2ft. What was the area of the scale drawing?
a) 213.3cm2
b) 67.5cm2
c)53.3cm2
d)1.5cm2

I don't think any of the choices match the answer (90cm2)?

  • math - ,

    After the scaling, the new shape is similar to the old shape
    areas of similar shapes are proportional to the square of their sides

    120 ft^2/2^2 = A/1.5^2
    120/4 = A/2.25
    A = 120(2.25)/4 = 67.5

    OR

    suppose the actual room was 10 ft by 12 ft ---> area = 120 ft^2

    in our scale the room would be 7.5 cm by 9 cm
    area of scaled room = 7.5(9) or 67.5 cm^2

Answer This Question

First Name:
School Subject:
Answer:

Related Questions

More Related Questions

Post a New Question