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Gnoma [55]
3 years ago
10

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

sions of the rectangle?
Mathematics
1 answer:
Irina18 [472]3 years ago
6 0
Answer:

I found:
length<span>=10cm</span>
width<span>=7cm</span>

Explanation:

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

<span>l=2w−4</span>
<span>P=2l+2w</span>

Where <span>P=34cm</span>

so, substitute the first into the second for l:

<span>34=2<span>(<span>2w−4</span>)</span>+2w</span>
<span>34=4w−8+2w</span>
<span>6w=42</span>
<span>w=<span>426</span>=7cm</span>
use this into the irst equation:
<span>l=2⋅7−4=14−4=10cm</span>

hope it helps!

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