Question

The length a rectangular pan is represented by 5a2 and the area of the rectangular pan is represented by 5a4 + 10a3 - 15a2, find the polynomial expression that represents the width of the pan. Write your answer in descending order. Please use the palette below to enter your answer

Answer 1

Answer:

$Width = a^2 + 2a - 3$

Step-by-step explanation:

Given

$Area = 5a^4 + 10a^3 - 15a^2$

$Length = 5a^2$

Required

Determine the Width

The area of a rectangle is calculated using:

$Area= Length * Width$

Make Width the subject

$Width = \frac{Area}{Length}$

Substitute values for Area and Length

$Width = \frac{5a^4 + 10a^3 - 15a^2}{5a^2}$

Factorize the numerator

$Width = \frac{5a^2(a^2 + 2a - 3)}{5a^2}$

$Width = a^2 + 2a - 3$

Hence, the polynomial for the width of the rectangle is:

$Width = a^2 + 2a - 3$