Question

The Capulet's are building a horse stall for their horse, Shaggy. The length, y, of the stall must be more than twice the width, x. However, they only have enough material to build 50 feet of fencing. Write the system of equations or inequalities used to solve it. Identify one option that would meet the criteria.

Answer 1

y = 18

x = 7

Explanation:

Since the Capulet's only have a total of 50 feet of fencing then that will also be the maximum perimeter of the fence and cannot exceed that value. Therefore, using the information provided we can conclude the following

y > 2x

y + y + x + x <= 50ft

2x + 2x + x + x <= 50ft

Now that we have these equations we can first solve for x and then solve for y

2x + 2x + x + x <= 50ft

6x <= 50ft ... divide by 6

x <= 8.33

y > 2 * 8.33

y > 16.66

Therefore, one possible value would be