Question

The plan of a terrace is shown at right. The scale is 2 inches : 6 feet. What are the length and width of the terrace? Find the terrace’s area.

Answer 1

Part 1) The length of the terrace is 15 feet

Part 2) The width of the terrace is 6 feet

Part 3) The area of the terrace is 90 square feet

Explanation:

The picture of the question in the attached figure

we know that

The scale of the plan is
`(2)/(6) (in)/(ft)`

step 1

Find the length of the terrace

we know that

The length of a terrace in the plan is equal to 5 inches

so

by proportion

Find the length of the terrace in the actual

`(2)/(6) (in)/(ft)=(5)/(x) (in)/(ft)\\ \\x=6*5/2\\ \\x=15\ ft`

step 2

Find the width of the terrace

we know that

The width of a terrace in the plan is equal to

so

by proportion

Find the width of the terrace in the actual

`(2)/(6) (in)/(ft)=(2)/(x) (in)/(ft)\\ \\x=6*2/2\\ \\x=6\ ft`

step 3

Find the area of a terrace

we know that

The area of a terrace is equal to

`A=LW`

we have

`L=15\ ft\\W=6\ ft`

substitute

`A=15*6=90\ ft^(2)`