Mathematics: 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.

1.2 metersStep-by-step explanation:0.1 meters= 10 centimeters...

The length of a rectangle is 4 inches less than

kaykay9243

01.02.2022

Length is 28. Width is 8.

Step-by-step explanation:

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

P=2l+2w

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

l=4w-4

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

72=2(4w-4)+2w

Distribute:

72=8w-8+2w

Combine like terms:

72=10w-8

Add 8 to both sides:

80=10w

Divide both sides by 10:

w=8

Therefore, the width is 8.

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

l=4(8)-4

Multiply:

l=32-4

Subtract:

l=28

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

And we're done!

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