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Liesch222
Liesch222 Liesch222
  • 13-07-2015
  • Mathematics
Answered

the length of a rectangle is 7 meters longer than its width. What is the width of width of this rectangle if its perimeter is equal to 98 meters.?

Verified Answer :

naǫ
naǫ naǫ
  • 13-07-2015

The width is x.
The length is 7 meters longer than the width, so it's x+7.
The perimeter is twice the sum of the length and the width. The perimeter is 98 meters.

\(2(x+x+7)=98 \\ 2(2x+7)=98 \\ 4x+14=98 \\ 4x=98-14 \\ 4x=84 \\ x=\frac{84}{4} \\ x=21 \\ \\ x+7=21+7=28\)

The width is 21 m, the length is 28 m.

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