The perimeter of a standard tennis court used for playing doubles is 288 ft. The width of the court is 42 ft less than the length. What is the length and the width?

1 Answer
Anuj Baskota
Nov 14, 2016

Length = 93
Width = 51

Explanation:

The perimeter is the sum of boundaries of the tennis court which is rectangular.
So, Perimeter = 2 * Length + 2 * Width.

Here, Width = Length - 42

Now,
Let Length =#l#and width = #w, #
288= 2*# l# + 2 * #w#
288 = 2#l# + 2 * (# l# - 42)
288= 2#l + 2l# - 84
372= 4#l#
#372/4# = #l #
So, #l# = 93

Width = #l# - 42
So Width = 93-42 = 51

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