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grin007 [14]
2 years ago
6

The width and length of a rectangle (in feet)are consecutive odd integers. If the length is increased by 5 feet, the area of the

resulting rectangle is 60 square feet. What is the area of the original rectangle?
Only answer if you know it!!!!
Mathematics
1 answer:
Tresset [83]2 years ago
4 0
Original:
<span>The width and length of a rectangle are consecutive odd integers
</span>so W = x and L = x + 2

<span>If the length is increased by 5 feet, then new L = x + 2 + 5 = x + 7
</span>
A = L x W
60 = (x + 7) x
60 = x^2 + 7x
x^2 + 7x - 60 = 0
(x - 5)(x + 12) = 0
x = 5 and x = -12

From here you have x = W = 5 ft and L = x + 2 = 5 + 2 = 7 feet

Area of original = 5 x 7 = 35

answer 
<span>the area of the original rectangle: </span>35 ft^2


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