The area of a rectangular wall of a barn is 28 square feet. Its length is 12 feet longer than the width. Find the length and the width of the wall of the barn.

The length is 14ft, and the width is 2ft.

Step-by-step explanation:

Recall that area of a rectangle is given by

From the question, the area of the rectangular wall of a barn is 28 ft² .

The length is 12 ft longer than the width, so

L=W+12

We substitute into the area formula to get:

We expand to get:

Split the middle term:

Factor to get:

Since the width is always positive , w=2ft

The length will then be,

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