Question

A rectangular skateboard park has an area x square + 15x + 56. What are possible dimensions of the park?

Answer 1

Factoring x^2+15x+56, you get (x+7)(x+8). So the possible dimensions are 7 and 8.

Answer 2

`(x+7) * (x+8)`

Explanation:

the area of the skateboard park is

`x^2 + 15x + 56`

We can factorize this expression, by finding two numers that when multiplied result in 56 and when they are added they result in 15

This two numbers are 7 and 8

7 * 8 = 56

7 + 8 = 15

and once we have this numbers we factorize the expression:

`x^2 + 15x + 56= (x+7)* (x+8)`

So, the possible dimensions of the park are (x + 7) by (x + 8)