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oladayoademosu

The dimensions of the rectangular garden are

  • length = 25 ft and
  • width = 19 ft

How to find the dimensions of the rectangular garden?

Let

  • L = length of rectangular garden and
  • W = width of rectangular garden

Since the rectangular garden is 6 ft longer than it is wide. we have that

L = W + 6.

Also, the area of the rectangular garden is A = 475 ft

Since it is a rectangle, its area A = LW.

So, LW = 475

(W + 6)W = 475

W² + 6W = 475

W² + 6W - 475 = 0

Factorizing, we have

W² - 19W + 25 W - 475 = 0

W(W - 19) + 25(W - 19) = 0

(W - 19)(W + 25) = 0

W - 19 = 0 or W + 25 = 0

W = 19 or W = -25.

Since the W cannot be negative, W = 19

Since L = W + 6

L = 19 + 6

= 25

So, the dimensions of the rectangular garden are

  • length = 25 ft and
  • width = 19 ft

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