The contractor for a new school put a rectangular garden in the courtyard. The length of this garden is 5 feet longer than its w
idth. If this area is 414 square feet, what is the length of the rectangle?
1 answer:
Answer:
23ft
Step-by-step explanation:
Area of the rectangle = LW
L is the length
W is the width
Given
Area = 414ft²
If the length of this garden is 5 feet longer than its width, then;
L = W+5
Substitute into the formula
414 = (W+5)W
414 = W²+5W
W²+5W-414 = 0
W = -5±√5²-4(-414)/2
W = -5±√25+1656/2
W = -5±√1681/2
W = -5+41/2
W = 36/2
W = 18ft
Since L = W+5
L = 18+5
L = 23ft
Hence the length of the rectangle is 23ft
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