Question

The picture is above I’ll mark as brainliest.

Answer 1

Answer:

7 inches

Step-by-step explanation:

see attached photo

Answer 2

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  $P=2(l+w)$

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Now, let's substitute 24 inches for $P$ because the perimeter is 24 and 5 for $w$ because the width is 5 inches and then solve.

$24=2(l+5)$

Let's distribute the parenthesis.

$24=2l+10$

Let's subtract 10 from both sides.

$14=2l$

Finally, let's divide by 2 from both sides.

$7=l$

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We figured out the length $(l)$ is 7.

Let's recheck if the answer's right or not.

$P=2(5+7)$

$P=2(12)$

$P=24$

Yes, the answer is right because we substituted 7 for $l$ 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.