Question

A friend is building a dog pen with an area of 150 square feet. Each side must be at least 5 feet long.

a.List all the possible dimensions of the dog pen.
b.What is the maximum amount of fence required to build the dog pen? How much fence is required
c.What dimensions would provide the longest running path for the dog?

Answer 1

c

Explanation:

Answer 2

The dog pen is most likely a rectangle. Area of a rectangle = length * width
a) possible dimension
150 / 5 = 30 ; length = 30 ; width = 5
150 / 7.5 = 20 ; length = 20 ; width = 7.5
150 / 10 = 15 ; length = 15 ; width = 10
150/ 12.5 = 12 ; length = 12.5 ; width = 10

b) maximum amount of fence. Compute for the perimeter.
P = 2(30 + 5) = 2(35) = 70
P = 2(20 + 7.5) = 2(27.5) = 55
P = 2(15 + 10) = 2(35) = 70
P = 2(12.5 + 12) = 2(24.5) = 49

MAXIMUM AMOUNT OF FENCE REQUIRED IS 70 FEET.

c) either: 30 by 5 or 15 by 10 dimension.