The length of a rectangle is 4 inches less than 4 times the width. If the perimeter is 72 inches, find the length and the width of the rectangle.

Length is 28. Width is 8.

Step-by-step explanation:

The perimeter of a rectangle is given by the following formula:

We know that the length is 4 inches less than 4 times the width. Therefore:

Substitute this for l. Let's also substitute 72 for P. Therefore:

Distribute:

Combine like terms:

Add 8 to both sides:

Divide both sides by 10:

Therefore, the width is 8.

The length is 4 less than 4 times the width. Thus: "

Multiply:

Subtract:

Therefore, the length is 28 and the width is 8.

And we're done!

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