He length of a rectangle is 4 centimeters less than twice its width. the perimeter of the rectangle is 34 cm. what are the dimensions of the rectangle?

Mathematics · High School · Mon Jan 18 2021

Answered on

Call the length l, the width w and the perimeter P; you get:

l=2w−4
P=2l+2w

Where P=34cm

so, substitute the first into the second for l:

34=2(2w−4)+2w
34=4w−8+2w
6w=42
w=42/6

=7cm
use this into the 1st equation:
l=2X7−4

=14−4

=10cm

hope it helps!

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