jmc

Question

In order for Mateen to walk a kilometer (1000m) in his rectangular backyard, he must walk the length 25 times or walk its perimeter 10 times. What is the area of Mateen's backyard in square meters?

Accepted Answer

The length L of the rectangle is 100025=40 meters. The perimeter P is 100010=100 meters. Since P_rect = 2L + 2W, we plug values in to get: 100 = 2 40 + 2W 100 = 80 + 2W 2W = 20 W = 10 meters Since A_rect = LW, the area is 40 10=400 square meters or 400.