Question

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 width of the wall of the barn

Answer 1

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 $9+6=15\ ft$