MATH SOLVE

2 months ago

Q:
# The perimeter of a rectangle is twice the sumof its length and its width. The perimeter is40 meters and its length is 2 meters morethan twice its width.

Accepted Solution

A:

The question is incomplete, here is the complete question:The perimeter of a rectangle is twice the sum of its length and its width, the perimeter is 40 meters and the length is 2 meters more than twice its width. What is the length?The length of the rectangle is 14 metersStep-by-step explanation:The formula of the perimeter of a rectangle is P = 2(L + W), whereL is its lengthW is its widthAssume that the width of the rectangle is x meters∵ The width of the rectangle = x meters∵ Its length is 2 meters more than twice its width- Multiply x by 2 and then add to the product 2∴ The length of the rectangle = 2 x + 2 meters∵ The formula of the perimeter is P = 2(L + W)- Substitute L by 2 x + 2 and W by x∴ P = 2(2 x + 2 + x)- Add like terms in the bracket∴ P = 2(3 x + 2)- Simplify the right hand side∴ P = 6 x + 4∵ The perimeter of the rectangle = 40 meters- Equate P by 40∴ 6 x + 4 = 40- Subtract 4 from both sides∴ 6 x = 36- Divide both sides by 6∴ x = 6∴ The width of the rectangle is 6 meters∵ The length = 2 x + 2- Substitute x by 6∴ The length = 2(6) + 2 = 12 + 2 = 14 metersThe length of the rectangle is 14 metersLearn more:You can learn more about the rectangles in brainly.com/question/12919591#LearnwithBrainly