Answer:
The length is 7 in
Step-by-step explanation:
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The perimeter is the boundary of the rectangle.
We know the perimeter of the rectangle is 24 inches already.
We know the length of the width is 5 inches.
The formula to find the perimeter of a rectangle is [tex]P=2(l+w)[/tex]
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Now, let's substitute 24 inches for [tex]P[/tex] because the perimeter is 24 and 5 for [tex]w[/tex] because the width is 5 inches and then solve.
[tex]24=2(l+5)[/tex]
Let's distribute the parenthesis.
[tex]24=2l+10[/tex]
Let's subtract 10 from both sides.
[tex]14=2l[/tex]
Finally, let's divide by 2 from both sides.
[tex]7=l[/tex]
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We figured out the length [tex](l)[/tex] is 7.
Let's recheck if the answer's right or not.
[tex]P=2(5+7)[/tex]
[tex]P=2(12)[/tex]
[tex]P=24[/tex]
Yes, the answer is right because we substituted 7 for [tex]l[/tex] and the value of the perimeter came out as 24 inches which mean 7 is the length of the rectangle.
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Hope this is helpful.
