Question

10. The width of a rectangle is doubled and the length is halved. This produces a square with perimeter of Pem. What is the perimeter (in cm) of the original rectangle? A) 2.5p B) 1.25P C) 0.5P D) 2P E) None of these​

Answer 1

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Answer:

B) 1.25P

Explanation:

The perimeter of the square is P, so each side is 0.25P. That means the rectangle had sides of 2(0.25P) and 1/2(0.25P) = 0.5P and 0.125P.

The rectangle's perimeter is ...

perimeter = 2(L+W) = 2(0.5P +0.125P) = 2(0.625P)

perimeter = 1.25P . . . . matches choice B