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sleet_krkn [62]
3 years ago
7

The area of a rectangular wall of a barn is 135 square feet. It's length is 6 feet longer than a width. Find the length and widt

h of the wall of the barn
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
8 0

Answer: 15\ ft,6\ ft

Step-by-step explanation:

Given

The area of a rectangular wall of a barn is 135\ ft^2

Suppose the width of the wall is x

So, the length of the wall is 6+x

Area can be written as the product of length and width

\Rightarrow (6+x)x=135\\\Rightarrow 6x+x^2=135\\\Rightarrow x^2+6x-135=0\\\Rightarrow x=\dfrac{-6\pm \sqrt{6^2-4(1)(-135)}}{2(1)}\\\\\Rightarrow x=\dfrac{-6\pm 24}{2}\\\\\Rightarrow x=-15,9

neglecting the negative value, width of the wall is 9\ ft

So, the length of the wall is 9+6=15\ ft

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