Question

A parking lot is 20 yards wide and 30 yards long. If the college increases the length and width by the same amount to handle and increasing number of cars, then what polynomial represents the area of the new lot?

Answer 1

Answer:

x² + 50x + 600

Step-by-step explanation:

The length changes from 20 yards to 20 + x. The width changes from 30 to 30+x.

The area will be A = l*w = (20+x)(30+x).

Use the distributive property to find the polynomial simplified.

A = (20+x)(30+x) = 600 + 30x + 20x + x² = 600 + 50x + x²

Write the polynomial in descending order by writing the exponents first.

x² + 50x + 600