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IgorC [24]
3 years ago
15

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

Mathematics
1 answer:
lara31 [8.8K]3 years ago
7 0
------------------------------------------------------------------------------
Formula
------------------------------------------------------------------------------
Perimeter = 2(Length + Width)

------------------------------------------------------------------------------
Perimeter of the Tennis Court
------------------------------------------------------------------------------
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

------------------------------------------------------------------------------
Perimeter of the Basketball Court
------------------------------------------------------------------------------
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

------------------------------------------------------------------------------
Answer: Tennis Court = 6x + 12 ; Basketball Court = 7x + 36
------------------------------------------------------------------------------

------------------------------------------------------------------------------
Difference in the two perimeter
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(7x + 36) - (6x + 12)
= 7x + 36 - 6x - 12
= x + 24

------------------------------------------------------------------------------
Answer: Basketball Court is (x + 24) unit greater than Tennis Court
------------------------------------------------------------------------------

------------------------------------------------------------------------------
Tennis Court is 36 feet wide. Find dimension
------------------------------------------------------------------------------
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

------------------------------------------------------------------------------
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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