Question

The area of a rectangular pool is 112 feet squared. The length of the pool is 6 ft greater than the width of the pool. The situation can be represented by the equation w2+6w−112=0.

What is the width of the pool in feet?

Answer 1

8 feet.

Explanation:

To solve this, we can use solve for the width by factoring. If factors of -112 are determined, we can find that -8 and 14 are factors that sum up to the mid-term coefficient, or b. Therefore, we get:

(x - 8)(x +14) = 0.

Take the positive zero from this factored equation, which is 8. Therefore, 8 feet is the width of the pool.