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.

Can someone answer this and explain it?

Answer 1

The length and width of the terrace are 15 feet and 6 feet respectively.

The area of the terrace is 90 ft²

The scale of the plan is 2 inches : 6 feet.

Therefore, 2inches represents 6 feet.

According to the drawing;

• length = 5 inches
• width = 2 inches

Therefore,

• length of the terrace = 5 × 6 / 2 = 30 / 2 = 15 feet
• width of the terrace = 2 × 6 / 2 = 12 / 2 = 6 feet

The area can be found as follows:

Area of a rectangle:

• area = lw

where

l = length

w = width

Therefore,

area = 15 × 6 = 90 feet²

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