Question

The area of a rectangular wall of a barn is 100 square feet. It’s length is 10 feet longer than twice it’s width. Find the length and width of the wall of the barn

Answer 1

The length would be 30 and the width would be 20

Explanation:

For the purpose of this, we'll set the width as x. We can then define the length as x + 10 since we know it is 10 ft longer than the width. Now we can use those along with the perimeter formula to solve for the width.

P = 2l + 2w

100 = 2(x + 10) + 2(x)

100 = 2x + 20 + 2x

100 = 4x + 20

80 = 4x

20 = x

Now since we know that the width is 20ft, we can add 10ft to it to get the length, which would be 30ft.