Posted by **pitigoiu** on Tuesday, April 2, 2013 at 3:35pm.

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 -
**Reiny**, Tuesday, April 2, 2013 at 4:06pm
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

## Related Questions

- math, scale drawing - charlies swimming pool is rectangular. it has an area of ...
- math - scale drawing of a right triangle, base= 4ft, height= 2 ft, scale = 1/2 ...
- Math - A room measures 3 m by 5 m. A scale drawing is to be made, using a scale ...
- Math Help!! - I have to do a scale drawing. The actual measurments of my room ...
- Math help,plz :( - So I'm drawing a scale drawing of A room (Yes, I know what a ...
- math - kevin drew a scale drawing of his living room,The actual room is 16 feet ...
- math - Brett made a scale drawing of a rectangular room in his house. The actual...
- Math - 1. What are the actual measurements of your room? _L- 315 W-237 ...
- math - Pilar made a scale drawing of a game room. The pool table is 2 inches ...
- math - You want to produce a scale drawing of your living room which is 24 ft by...