The length of a rectangle is 6 inches longer than its width, x. The perimeter of the rectangle is 36 inches. Which is the width of the rectangle, x?

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08-03-2019
Mathematics

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The length of a rectangle is 6 inches longer than its width, x. The perimeter of the rectangle is 36 inches. Which is the width of the rectangle, x?

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kudzordzifrancis kudzordzifrancis · Answer 1 · 2019-03-08T05:57:18+01:00

kudzordzifrancis kudzordzifrancis

08-03-2019

Answer:

The width of the rectangle is 6 units.

Step-by-step explanation:

The width of the rectangle is [tex]x[/tex] units.

The length of the rectangle is [tex]x+6[/tex] units.

The perimeter is

[tex]P=2l+2w[/tex]

This implies

[tex]36=2(x+6)+2x[/tex]

Expand;

[tex]36=2x+12+2x[/tex]

Group like terms;

[tex]2x+2x=36-12[/tex]

[tex]4x=24[/tex]

[tex]x=6[/tex]

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zainebamir540 zainebamir540 · Answer 2 · 2019-03-08T10:05:59+01:00

Answer:

The width of the rectangle is 6 inches and length of rectangle is 12 inches.

Step-by-step explanation:

We have given the perimeter of the rectangle and the length of a rectangle is 6 inches longer than its width.

Let x be the width of the rectangle and x+6 be the length of the rectangle.

Perimeter = p = 36 inches

We have to find the values of width and length of rectangle.

The formula to find the Perimeter is:

p = 2l+2w

36 = 2(x+6)+2(x)

36 = 2x+12+2x

36 = 4x+12

36-12= 4x

24 = 4x

x = 6 inches.

Hence, the width of the rectangle is 6 inches and length of rectangle is 12 inches.