Question

A scale drawing of a rectangular mural has the dimensions 2 inches by 3 inches. The scale is 0.5 inches : 5 feet. Find the actual dimensions of the mural. Then find the dimensions of another scale drawing with the scale 0.25 inches : 10 feet.

Answer 1

Part A) The actual dimensions of the mural are 20 ft by 30 ft

Part B) The dimensions on the new scale drawing are 0.50 in by 0.75 in

Explanation:

Part A) we know that

A rectangular mural has the dimensions 2 inches by 3 inches

The scale of the drawing is
`(0.5)/(5)(in)/(ft)`

using proportions

Find out the dimensions of the actual mural

For 2 inches

`(0.5)/(5)(in)/(ft)=(2)/(x)(in)/(ft)\\\\x=5*2/0.5\\x=20\ ft`

For 3 inches

`(0.5)/(5)(in)/(ft)=(3)/(x)(in)/(ft)\\\\x=5*3/0.5\\x=30\ ft`

therefore

The actual dimensions of the mural are 20 ft by 30 ft

Part B) Find the dimensions of another scale drawing with the scale 0.25 inches : 10 feet.

To find out the dimensions in the new scale drawing, multiply the actual dimensions by the new scale

The new scale is
`(0.25)/(10)(in)/(ft)`

For 20 ft

`(0.25)/(10)(in)/(ft)(20\ ft)=0.50\ in`

For 30 ft

`(0.25)/(10)(in)/(ft)(30\ ft)=0.75\ in`

therefore

The dimensions on the new scale drawing are 0.50 in by 0.75 in