Question

The length of a rectangle is twice its width. If the perimeter of the rectangle is 30 in, find its length and width.

Answer 1

The length of a rectangle is twice its width. If the perimeter of the rectangle is 30 inches, find its length and width.

Perimeter =2(length+width)

x= width

2x= length

P = 2(x+2x)

P = 2*3x = 6x

P = 30 inches

30 = 6x

x= 30/6 =5

width = 5 inches

length = 10 inches

Answer 2

L: 10; W: 5

Explanation:

The perimeter is all sides of the rectangle added together. So, we need to find what all the sides could be. Keep in mind that the length and length have to be equal. As well as the width and the width. So, one possible combination is the width being 8 and 8. Which adds to 16. And the width being 7 and 7. Which adds to 14. Which adds to 30. But that isn't it. If we continue doing combinations, we can eventually find the right combination. I actually found it fairly easily. If we make the length 10 + 10, that will equal 20. And in order to get to 30, we would have to do 5 + 5 for the width, which is half of 10. So, we actually found it. So, the length is 10, and the width is 5.

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