The width of a high school soccer field is 45 yards shorter than the length. The area of the soccer field is 9000 yd.². What are the dimensions of the soccer field

Answer 1

We should start by assigning the length to be x. If the length is x, then we know that the width is x-45.

Area is calculated by multiplying the length and the width, and in this problem it will be like this.

(x)(x-45)=9000

x^2-45x-9000=0

We should now factor this into

(x+75)(x-120)=0

x=-75, x=120

This will give us two solutions, but we know that the length must be positive, leaving us with the only solution of x=120.

120 yards is the length of the football field, and 120-45=75 yards, which is our width

The football field is 120 yards x 75 yards.

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