Arectangular park is 214 feet longer than it is wide, and the total length of fence that goes around the perimeter of the park is 1444 feet. find how many square feet of lawn will be needed to cover the entire park?

The answer to your question is : 118872 ft² of lawn

Step-by-step explanation:

Data

length = l

width = w

length = width + 214

Perimeter = 1444 ft

Area = ?

Process

Perimeter = 2l + 2w

Perimeter = 2(w + 214) + 2w

Perimeter = 1444 = 2w + 428 + 2w

                    1444 = 4w + 428

                    4w = 1444 - 428

                    4w = 1016

                      w = 1016 / 4

                      w = 254 ft

                     l = 254 + 214

                     l = 468 ft

Area = l x w

       = 468 x 254

      = 118872 ft²

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