A rectangular playground has dimensions and area as shown below. Complete the work to find the dimensions of the rectangle.

x(4x + 5) = 450

4x2 + 5x = 450

4x2 + 5x – 450 = 0

(4x + 45)(x – 10) = 0

The rectangle has a width, x, of
, and a length of
.

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Step-by-step explanation:

The remaining work is to identify the values of x that make the factors zero:

4x +45 = 0

  x = -45/4 . . . . negative dimensions are not useful

x -10 = 0

  x = 10

The width is x, so the width is 10.

The length is 4x+5, so the length is 4·10+5 = 45.

The rectangle has a width, x, of 10 and a length of 45.

answer: the answer is 35%

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step-by-step explanation: