Question

A medical center’s rectangular parking lot currently has a length of 30 meters and a width of 20 meters. The center plans to expand both the length and the width of the parking lot by 2x meters. What polynomial in standard form represents the area of the expanded parking lot?

Answer 1

Area =
`4x^2+100x+600`

Explanation:

If both length and width are increase by 2x meters each, then:

New length = 30 + 2x

New Width = 20 + 2x

We know area of rectangle = length * width

Thus the new rectangle will have an area of :

Area = length * width =
`(30+2x)(20+2x)=600+60x+40x+4x^2=4x^2+100x+600`

Note: Standard form of a polynomial is writing the terms in order (highest order comes first and so on)