Question

Preston is designing a room that will be 10.5 feet long and 8.75 feet wide. He wants to create a scale drawing of the room using a scale of 0.5 inch = 2.5 feet. What should be the dimensions of the room on Preston’s scale drawing?

a.
2.1 inches by 1.75 inches
c.
0.5 inches by 3 inches
b.
8.5 inches by 6.75 inches
d.
5.25 inches by 4.375 inches

Answer 1

Option a. 2.1 inches by 1.75 inches

Explanation:

we know that

The scale drawing is

`(0.5)/(2.5)\ (in)/(ft)=0.2\ (in)/(ft)`

That means ----> 0.2 inches in the drawing represent 1 foot in the actual

To find out the dimensions in inches of the room in the drawing, multiply the actual dimensions in feet by 0.20

so

Length:
`10.5\ ft=10.5(0.2)=2.1\ in`

Wide:
`8.75\ ft=8.75(0.2)=1.75\ in`