Zeke wants to build a fence around his backyard with the 200 feet ( ft ) of fencing he bought at Lowe’s. Zeke wants to use all of the fencing he bought. He also wants the length of the fencing to be 10 × the width. The equation
a=200w−10w²can be used to find the area of the garden, where w is the width of the garden, in ft. Complete the statements. The zeros of the equation are:
a) w=0,w=20
b) w=0,w=−20
c) w=−20,w=0
d) w=0,w=10
The solution is not realistic in this context because:
a) It leads to a negative width.
b) It implies an unrealistic length for the fencing.
c) It results in a zero area.
d) It violates the given conditions.