Question

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.

Answer 1

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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