Tammy has a rectangular rug with an area of 21 square feet. The rug is 4 feet longer than it is wide. Part A: Create an equation to determine the length and the width of the rug.
Part B: Use your equation from Part A to solve for the length and width of the rug. Show your work.

A) A = W(W + 4)

B) Length = 7 ft

Width = 3 ft

Step-by-step explanation:

A) Let the length and width of the rectangular rug be L and W respectively.

We are told that the rug is 4 feet longer than it is wide. Thus;

L = (W + 4)

Also we are told that the area is 21 ft²

Now, formula for area of a rectangle is;

A = LW.

Thus;

A = W(W + 4)

21 = W(W + 4)

B) 21 = W² + 4W

W² + 4W - 21 = 0

Using quadratic formula to find the roots, we arrive at W = 3 ft.

Thus, L = 3 + 4 = 7 ft

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step-by-step explanation: