Arectangle has an area of 96cm2. the width is four less than the length. what is the perimeter?

Step-by-step explanation:

Let L represent the length of the rectangle.

Let W represent the width of the rectangle.

The formula for determining the area of a rectangle is expressed

LW^2

The rectangle has an area of 96cm2. This means that

LW = 96 - - - - - - - - - - 1

The width is four less than the length. This means that

L = W + 4

Substituting L = W + 4 into equation 1, it becomes

W(W + 4)= 96

W^2 + 4W = 96

W^2 + 4W - 96 = 0

W^2 + 12W - 8W - 96 = 0

W(W + 12) - 8(W + 12) = 0

(W + 12)(W - 8) = 0

W = 8 or W = -12

Since the width cannot be negative, the W = 8cm

L = W + 4 = 8 + 4 = 12 cm

The formula for determining the perimeter of a rectangle is

Perimeter = 2(L + W)

Perimeter = 2(8 + 12) =2×20

Perimeter of rectangle = 40 cm

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12

step-by-step explanation:

answer: 0

step-by-step explanation: the positive, like 5, + its opposite, like -5 would be 0

5+(-5)=0, or 5-5=0