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The length of a rectangle is 2 inches less than twice the width and the perimeter is 26 inches. Find the length and width.

Sagot :

Leora03

Answer:

Length= 8 inches

Width= 5 inches

Step-by-step explanation:

Let the length of the rectangle be L inches and the width of the rectangle be W inches.

L= 2W -2 -----(1)

Perimeter= 2(L +W)

2(L +W)= 26

Divide both sides by 2:

L +W= 26 ÷2

L +W= 13 -----(2)

Substitute (1) into (2):

2W -2 +W= 13

3W -2= 13

3W= 13 +2

3W= 15

W= 15 ÷3

W= 5

Substitute W= 5 into (1):

L= 2(5) -2

L= 10 -2

L= 8

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