A school's rectangular athletic field has a length of 125 yards and a width of 75 yards. The planning committee has decided to expand both the length and the width of the field by a certain number of yards ... say x. Write a polynomial in standard form representing the area of the new field.

Question

Mathematics

Ahmad Lara

9 November, 02:31

A school's rectangular athletic field has a length of 125 yards and a width of 75 yards. The planning committee has decided to expand both the length and the width of the field by a certain number of yards ... say x. Write a polynomial in standard form representing the area of the new field.

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Answers (2)

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Lailah Vaughan · Answer 1

x^2 + 200x + 9375 = y

Step-by-step explanation:

So, if the original area is 125*75, and you are changing this by adding x to both sides, we can create a new equation to model this change. the length changes to (125+x) and the width to (75+x). This gives us the expression (x+125) (x+75) = y, or x^2 + 200x + 9375 = y, where y is the total area of the field.

Drew Ellis · Answer 2

Step-by-step explanation:

A school's rectangular athletic field has a length of 125 yards and a width of 75 yards. The planning committee has decided to expand both the length and the width of the field by a certain number of yards ... say x. This means that the new length would be 125 + 2x and the new width would be 75 + 2x

Therefore, the new area would be

A (x) = (125 + 2x) (75 + 2x) = 9375 + 250x + 150x + 4x^2

A (x) = 4x^2 + 400x + 9375