Question

1. A soccer field has an area (A = LW) that is represented by the polynomial 1 point

below. Which binomials could represent the possible dimensions of the

soccer field?(Hint: Use factoring)

Answer 1

`(x + 6)(x - 6)`

Explanation:

Given

See attachment for soccer field

Required

The possible dimension of the field

From the attachment, we have:

`Area = x^2 - 36`

`Length = x +a`

`Width = x + b`

So, we have:

`Length * Width = Area`

This gives:

`(x + a)(x + b) = x^2 - 36`

Express 36 as 6^2

`(x + a)(x + b) = x^2 - 6^2`

Express as difference of two squares

`(x + a)(x + b) = (x + 6)(x - 6)`

Hence, the dimension is:
`(x + 6)(x - 6)`