600 feet of fence surround a rectangular playground that is 100 feet wide. How long is the playground? A.400 b.500 c.300 d.200

Question

600 feet of fence surround a rectangular playground that is 100 feet wide. How long is the playground? A.400 b.500 c.300 d.200

Answer 1

Half of the perimeter is 300 feet.

If 100 feet are in the width, then 200 feet are in the length.

Answer 2

Hi Brian,

Perimeter is the sum of the lengths and the widths of the rectangle.

So P= l + l + w + w

perimeter is 600 and the width is 100.

so substituting in

600= 100 + 100 + l + l

600 = 200 + 2 l

solve for l

l = 200

hope this helps