# Given that Area = 15x^3 + 25x^2 what is the length and width of the rectangle?

## Question:

Given that Area {eq}= 15x^3 + 25x^2 {/eq} what is the length and width of the rectangle?

## Euclid of Alexandria:

Euclid of Alexandria's greatest contribution to the study of Geometry is the introduction of an axiomatic system where these axioms can be proven or disproven.

## Answer and Explanation:

Since the area is a binomial, the dimensions can be derived by factoring it:

{eq}15x^3 + 25x^2 = 5x^2( 3x + 5) {/eq}

Depending on the value of {eq}x {/eq} the dimensions of the rectangle would be {eq}5x^2 \ \times (3x + 5) {/eq}.