In a rectangle, the perimeter is 102 inches. the width of the rectangle is 9 inch more than half the length. what are the length and width of the rectangle?
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ANSWER

w=23 inches and l=28 inches.

EXPLANATION

The given rectangle has perimeter,

The width of the rectangle is 9cm more than half the length.

Let the length be

inches.

The formula for perimeter is,

We substitute the values to get,

Expand:

The width is

The answer is: The length of the rectangle is 28 inches, while the width is 23 inches.

Perimeter is equal to the sum of all of the sides of the rectangle:

We know that the perimeter is 102 inches and width is 9 inch more than half of the length, so:

So, substituting the Width into the first equation, we have:

Then, substituting L into the second equation, we have:

So, the length of the rectangle is 28 inches, while the width is 23 inches.

Have a nice day!

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step-by-step explanation: