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The length of a rectangle is 5 centimeters less than twice its width. The perimeter of the rectangle is 26 cm. What are the dimensions of the rectangle?

A. length = 7 cm; width = 6 cm

B. length = 4 cm; width = 9 cm

C. length = 6 cm; width = 7 cm

D. length = 5 cm; width = 5 cm

Respuesta :

jigglypuff314
"the length of a rectangle is 5 centimeters less than twice its width"
this translates to
L = 2W - 5

Perimeter = 2L + 2W = 26

we plug in L = 2W - 5 into 2L + 2W = 26
and get
2(2W - 5) + 2W = 26

distribute the 2
4W - 10 + 2W = 26

add like terms
6W - 10 = 26

add 10 to both sides
6W = 36

divide both sides by 6
W = 36 / 6 = 6

so the width = 6 cm

The only option with width = 6 cm is A
Therefore your answer is A

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