Question

The city wants to build a football field. Each wheelbarrow full of dirt covers an area of. Determine how many wheelbarrows full of dirt they need for the field below.

Answer 1

Answer: $5x^{2}+45x$

Step-by-step explanation:

1. First, you must calculate the area of the football field. It is a rectangle, therefore, multiply the lenght by the width to calculate the area:

$Area=lenght*width\\Area=(10x^{2}+90x)5x^{2}\\Area=50x^{4}+450x^{3}$

2. Then, divide this area by the area covered by a wheelbarrow full of dirt.

$x$: number of wheelbarrows full of dirt needed for the field.

$x=\frac{50x^{4}+450x^{3}}{10x^{2}}=5x^{2}+45x$