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?

Question

2376 views around the world

You can reuse this answer
Creative Commons License

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#