The length of a rectangle is 4 feet more than 4 times the width. If the area is 48 square feet, find the width and length.
1 answer:
Answer:
L = 16 W=3
Step-by-step explanation:
Let width = x
Length = 4x +4
Area = 48
Area = L times w
48= (4x+4)(x)
48 = 4x^2 +4x
0 = 4x^2 +4x -48
0= 4(x^2 +x-12)
0 = (x+4)(x-3)
x = -4
x=3
Ignore the -4 because it's unrealistic to have negative length width or area
Hence, only solution is 3
Width = 3
Length = 4x + 4 = 4(3) + 4 = 12+4 = 16
Hope this helps!
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