Question

Mia has 50 feet of fencing to make a rectangular kennel for her dog. She decides to use part of her house as one side (width) of the kennel. She needs a minimum enclosed area of 300 square feet. Let l represent the length of the kennel.

Which inequality represent this situation, and what is the solution set?

Answer 1

Explanation:

Area of the rectangular kennel is expressed as Length * Width.

A = L*W

If she needs a minimum enclosed area of 300 square feet, this means that the lowest amount of area she needs is 300ft² i.e it can be more.

The inequality that represent this situation is expressed as;

L*W≥300

Since she decides to use part of her house as one side (width) of the kennel, then the width of the kernel is 50ft. On substituting;

50L≥300

The inequality that represents the situation is 50L≥300

Divide both sides of the inequality by 50

50L/50≥300/50

L≥ 6

Hence the solution set is L≥ 6 and W= 50