Question

The scale drawing of a rectangular room will be enlarged by a scale factor of 4 to create the actual room. The actual area of the room will be 150 square feet. Which expression finds the area of the scale drawing?

Answer 1

The expression is equal to 150/4 squared

C- on edge

Explanation:

Answer 2

The expression is equal to
`(150)/(4^(2))`

The area of the scale drawing is
`9.375\ ft^(2)`

Explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

let

z------> the scale factor

x------> the area of the actual room

y-----> the area of the scale drawing

so

`z^(2)=(x)/(y)`

we have

`z=4`

`x=150\ ft^(2)`

substitute and solve for y

`4^(2)=(150)/(y)`

`y=(150)/(4^(2))=9.375\ ft^(2)`