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The length of a rectangle is 4 inches longer than its width. If the perimeter of the rectangle is 68 inches, find its length and width.

Answer :

The length of the rectangle is 19 inches and the width is 15 inches. Let's assume the width of the rectangle is x inches. According to the given information, the length of the rectangle would be 4 inches longer than the width, so it would be (x + 4) inches.

The formula for the perimeter of a rectangle is:

Perimeter = 2 * (Length + Width)

Substituting the values into the equation:

68 = 2 * ((x + 4) + x)

Simplifying:

68 = 2 * (2x + 4)

Dividing both sides by 2:

34 = 2x + 4

Subtracting 4 from both sides:

30 = 2x

Dividing both sides by 2:

15 = x

So, the width of the rectangle is 15 inches.

To find the length, we can substitute this value back into the equation for the length:

Length = x + 4

Length = 15 + 4

Length = 19 inches

Therefore, the length of the rectangle is 19 inches and the width is 15 inches.

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