Mathematics: The length of a rectangle is 10 inches longer than the width. The perimeter is 56 inches. Find the length and the width of the rectangle

Yes it is the first one and the last one...

The length of a rectangle is 10 inches longer than

jaimes04

22.01.2022

$Length=19\,inches\\\\Width=9\,inches$

Step-by-step explanation:

Let, the length of the rectangle be 'L',

Width of the rectangle be 'W'

$L=(W+10)\,inches$

Perimeter of the rectangle= $56\,inches$

Perimeter of the rectangle= 2(Length+Width)

$56=2(W+10+W)\\\\\dfrac{56}{2} =W+10+W\\\\28=2W+10\\\\28-10=2W\\\\18=2W\\\\W=\dfrac{18}{2}\\\\ W=9\,inches$

As,

$L=(W+10)\,inches$

$L=9+10\\\\L=19\,inches$

$Length=19\,inches\\\\Width=9\,inches$

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