Answered

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4) The area of a rectangle is 28 square inches and its perimeter is 22 inches.
Find the dimensions of the rectangle.

Sagot :

KoiPyallKalomuje

Step-by-step explanation:

Hi,Voelkarsd

The formula for the perimeter for a rectangle is P = 2L + 2W

The formula for the area of a rectangle is A = LW

where L = length and W = width

P = 22 and A = 28

22 = 2L + 2W

28 = LW

Rewriting the 2nd equation L = 28/W

Substituting this into the first equation

22=2(28/W) + 2W

Reworking the equation to eliminate the denominator

22W = 2(28) + 2W2

22W = 56 + 2W2

and

2W2 - 22W + 56 = 0

Dividing by 2

W2 - 11W + 28 = 0

(W-7)(W-4)

Set each factor equal to 0 and solve each for 0

W = 4, W = 7

If W = 4, then 2(L+4)=22

L = 7

The sticker is 7 cm by 4 cm

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