The length of a rectangle is twice as large as its width, and its perimeter is $210$ $210$ $m$ $m$ . What are the length and width of the rectangle?

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The length of a rectangle is twice as large as its width, and its perimeter is $210$ $210$ $m$ $m$ . What are the length and width of the rectangle?

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Answer 1 · 2018-02-09T00:31:12

The perimeter of a rectangle is $2 l + 2 w$ $2l+2w$ . Since we know $l = 2 w$ $l=2w$ we can substitute that in: $2 (2 w) + 2 w = 4 w + 2 w = 6 w$ $2(2w)+2w=4w+2w=6w$ .

So $6 w = 210$ $6w=210$ , then $w = \frac{210}{6} = 35$ $w=210/6=35$ $m$ $m$ , and the length is twice that, $70$ $70$ $m$ $m$ .

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The length of a rectangle is twice as large as its width, and its perimeter is $210$ $210$ $m$ $m$ . What are the length and width of the rectangle?

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The length of a rectangle is twice as large as its width, and its perimeter is $210$ $210$ $m$ $m$ . What are the length and width of the rectangle?