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The length of a rectangle is 6.7 more than 2 times the width. If the perimeter of the rectangle is 57.2 cm, what are its dimensions? Show all work.

A. Length=21.3 cm; width=7.3 cm

B. Length=7.3 cm; width=21.3 cm

C. Length=21.3 cm; width=14 cm

D. Length=7.9 cm; width=14 cm

Respuesta :

The answer is going to be a. hope that helped
From the description, you can get two equation that looks like this:

L= 2*W+6.7cm
Perimeter= 57.2cm

Using perimeter formula, you can put the first and second equation like this:

perimeter= 2L + 2W
57.2cm= 2(2*W+ 6.7)+2W
57.2cm= 4W+ 13.4+ 2W
57.2- 13.4= 6W
W= 43.8/6= 7.3 cm

L= 2W+ 6.7
L= 2*7.3 + 6.7= 21.3
Answer: A. Length=21.3 cm; width=7.3 cm