Question

Nina makes the scale drawing shown of a rectangular room that needs new carpet

Answer 1

We are given

rectangle

length is 6 inches

so,
`L=6inch`

width is 4 inches

so,
`W=4inch`

now, we can find area

`Area=length*width`

`Area=L*W`

now, we can plug values

`Area=6*4 in^2`

`Area=24 in^2`

now, we are given scale

`(1)/(4) in=2ft`

we can take square both sides

`(1)/(4^2) in^2=2^2 ft^2`

`(1)/(16) in^2=4 ft^2`

now, we can find 1 in^2

`1 in^2=16*4 ft^2`

now, we can multiply both sides by 24

`24*1 in^2=24*16*4 ft^2`

`24 in^2=1536 ft^2`

so,

Area of rectangle is 1536 feet^2..........Answer