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 area

Part 1) The length of the terrace is

Part 2) The width of the terrace is

Part 3) The area of the terrace is

Step-by-step explanation:

we know that

The scale of the plan is

see the attached figure to better understand the problem

Step 1

Find the length of the terrace

we know that

The length of a terrace in the plan is equal to

so

by proportion

Find the length of the terrace in the actual

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

Step 3

Find the area of a terrace

we know that

The area of a terrace is equal to

we have

substitute

4sqrt5

step-by-step explanation:

the base has dimensions of 8 x 4, so the diagonal is 64 + 16 square rooted or 4sqrt5.

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