Question

Becky and Lewis's hamster cages have the same perimeter. Lewis's cage has a length 0.75 times the length of Becky's cage. What is the width, w, of Lewis’s cage?

it is L =15 by W =11 in.

Answer 1

Answer: The width of Lewis´s rectangular cage as a mixed number in simplest form equals 14.86 inches.

Step-by-step explanation:

For the perimeter of Becky's rectangular cage, we have:

Perimeter, P = 2(15 + 11)

Perimeter, P = 2(26)

Perimeter, P = 52 inches.

For the perimeter of Lewis's rectangular cage, we have:

Length, L = 0.75W

Perimeter, P = 2(L + W)

52 = 2(0.75W + W)

26 = (0.75W + W)

1.75W = 26

Width, W = 26/1.75

Width, W = 14.86 inches.

I hope that helps