Question

The area of the rectangular computer chip is 112a3b2 square microns. Write a simplified expression that represents the length. The length is ? microns.

Answer 1

Question:

The area of a rectangular computer chip is 112a^3b^2 square microns. Write a simplified expression that represents the length, if the width is 8ab

Answer:

$Length = 14a^2b$

Step-by-step explanation:

Given

$Area = 112a^3b^2$

$Width = 8ab$

Required

Determine the height

Area is calculated as:

$Area = Length * Width$

Make Length the subject

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

$Length = \frac{112a^3b^2}{8ab}$

$Length = \frac{14a^3b^2}{ab}$

Apply law of indices

$Length = 14a^{3-1}b^{2-1}$

$Length = 14a^2b$