Tammy has a rectangular rug with an area of 21 square feet. The rug is 4 feet longer than it is wide.
1 answer:
Answer:
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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