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The perimeter of a rectangle is 212. The length is 16 more than 5 times the width. Find the dimensions.

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Answer:

Dimensions are

Length= 91 units

Width=15 units

Explanation:

The formula for perimeter is 2(l+w) where l is length and w is width.

Given perimeter is 212 units

Let the width , w=x units

Length is 16 more 5 times the width= 5x+16 units

So length will be = 5x+16

and width will be= x

Perimeter = 2(l+w)

212=2( 5x+16+x)

212=10x+32+2x

212=12x+32

212-32=12x

180=12x

180/12=12x/12

15=x----------------------width

For length= 5x+16

l=(5*15) +16

l=75+16=91 units-------------length

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