A rectangular park has a length that is 10 less than three times its width. Given the perimeter of the park is 180 feet, how do you find the area?

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Answer 1 · 2016-12-30T10:23:12

#A = 1625#

Let #w# be the width of the park
Let #l# be the length of the park

#=> l = 3w - 10#

#P = 2l + 2w#

#=> 180 = 2(3w - 10) + 2w#

#=> 180 = 6w - 20 + 2w#

#=> 200 = 8w#

#=> w = 25#

#> l = 3(25) - 10 = 65#

#A = lw#

#=> A = 65*25#

#=> A = 1625#