A rectangle can be defined as a 4 sided geometric figure. <em>One side of a rectangle is longer than the other sides. A rectangle can also be referred to as a quadrilateral.</em>
The dimensions of the background are given as Width: 8 feet and the Length: 18 feet
The formula for the area of a rectangle is Length x Width.
The question says:
The owners want the length to be 10 feet more than its width. Hence:
L = W + 10
The area of the fenced backyard = 144 square feet.
Hence,
(W + 10) x W = 144
W² + 10W = 144
Rewriting the equation
W² + 10W - 144 = 0
We factorize the algebraic expression above
W² - 8W + 18W - 144 = 0
W(W - 8) + 18(W - 8) = 0
(W - 8) (W + 18) = 0
<em>W - 8 = 0, W = 8</em>
<em> W + 18 = 0, W = -18</em>
Since the width cannot be a negative value, the width of the backyard is 8 feet
Solving for the Length,
L = W + 10
L = 8 + 10
L = 18 feet
The length of the backyard is 18 feet.
Therefore, the dimensions of the backyard are Width: 8 feet and Length: 18 feet.
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