Question

The figures shows the show the dimension of a tennis court and a basketball court given in term of the width x in feet.

Answer 1

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Formula
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Perimeter = 2(Length + Width)

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Perimeter of the Tennis Court
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Perimeter of the Tennis Court = 2(Length + Width)
Perimeter of the Tennis Court = 2 (2x + 6 + x)
Perimeter of the Tennis Court = 2 (3x + 6)
Perimeter of the Tennis Court = 6x + 12

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Perimeter of the Basketball Court
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Perimeter of the Basketball Court = 2(Length + Width)
Perimeter of the Basketball Court = $2(3x -14 + \dfrac{1}{2}x + 32)$
Perimeter of the Basketball Court = $2( 3\dfrac{1}{2}x+ 18)$
Perimeter of the Basketball Court = $7x + 36$

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Answer: Tennis Court = 6x + 12 ; Basketball Court = 7x + 36
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Difference in the two perimeter
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(7x + 36) - (6x + 12)
= 7x + 36 - 6x - 12
= x + 24

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Answer: Basketball Court is (x + 24) unit greater than Tennis Court
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Tennis Court is 36 feet wide. Find dimension
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Width of Tennis Court = x = 36 ft
Length of Tennis Court = 2x + 6 = 2(36) + 6 = 78 ft
Perimeter of Tennis Court = 6x + 12 = 6(36) + 12 = 228 ft

Width of Basketball Court = 1/2x + 32 = 1/2(36) + 32 = 50 ft
Length of Basketball Court = 3x - 14 = 3(36) - 14 = 94 ft
Perimeter of Basketball Court = 7x + 36 = 7(36) + 36 = 288 ft

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Answer:
Tennis Court is 36 ft by78 ft and its perimeter is 228 ft.
Basketball Court is 50 ft by 94 ft and its perimeter is 288 ft
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