Question

A school is building a rectangular soccer field that has an area of 6000 square yards .the soccer field.must be 40 yards longer than it’s width .write an equation , in standard.form , that can be used to solve for the area .Do not solve the question

Answer 1

The equation in standard form is:

x^2-40x-6000 = 0

Explanation:

Let the length of the field be x yards.

Now the width of the field is 40 yards less than the length of the field.

Thus, the width of the field would be (x-40) yards

Now, to calculate the area of the field, we simply multiply the length of the field by the width of the field.

Hence;

Since the shape is rectangular, the area is the product of the length and that of the width

x(x-40) =6,000

x^2 -40x = 6,000

x^2-40x-6000 = 0