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.?

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naǫ
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.

[tex]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[/tex]

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