Answered

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A rectangle's length is 6 inches greater than its width. If the perimeter of the rectangle is 36 inches, find the length.

Sagot :

We will have the following:

First, we are given the following expressions for the rectangle's length and width respectively:

[tex]l=w+6[/tex]

&

[tex]w=w[/tex]

Now, we calculate the length and width using the perimeter:

[tex]P=2(l+w)\Rightarrow P=2(w+6+w)\Rightarrow P=2(2w+6)\Rightarrow P=4(w+3)[/tex]

So:

[tex]36=4(w+3)\Rightarrow w+3=9\Rightarrow w=6[/tex]

Then:

[tex]l=(6)+6\Rightarrow l=12[/tex]

So, the measurements of the length and the width are respectively 12 units and 6 units.

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