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Question

Mr. Smith owns a farm 200 feet long and 150 feet wide. The cost of fencing it is $25 per foot. Find the cost of fencing the farm.

A
$21500
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B
$20400
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C
$19200
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D
$17500
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Solution

The correct option is D $17500
Length of the rectangular farm = 200 ft
Width of the rectangular farm = 150 ft

To find the cost of fencing, we need to find the perimeter of the farm.

We know,
Perimeter of a rectangle
= 2 × (Length + Width)

Substituting the values, we get:

Perimeter of the rectangle
= 2 × (200 + 150) feet
= 2 × 350 feet
= 700 feet

Cost of fencing 1 foot of the farm = $25

∴ Cost of fencing the entire farm
= Perimeter × Cost of fencing per foot
= 700 × 25
=$17500

Thus, the cost of fencing the whole farm is $17500.

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