# A rectangle has a perimeter of 18 cm. Its length is 5 cm greater than its width. What are the dimensions?

the width is 2cm and the length is 7cm

The perimeter of the rectangle is given by 2 x width + 2 x length

Therefore, the width is 2cm and the length is 7cm

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Let the width of the rectangle be ( w ) cm. Then, its length is ( w + 5 ) cm.

The perimeter of a rectangle is given by the formula: ( \text{Perimeter} = 2(\text{length} + \text{width}) ).

Given that the perimeter is 18 cm, we have:

[ 18 = 2((w + 5) + w) ]

[ 18 = 2(2w + 5) ]

[ 18 = 4w + 10 ]

[ 8 = 4w ]

[ w = 2 ]

So, the width of the rectangle is 2 cm, and the length is ( 2 + 5 = 7 ) cm.

Therefore, the dimensions of the rectangle are: width = 2 cm and length = 7 cm.

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