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`

Explanation:

Given

`Area = 112a^3b^2`

`Width = 8ab`

Required

Determine the height

Area is calculated as:

`Area = Length * Width`

Make Length the subject

`Length = (Area)/(Width)`

`Length = (112a^3b^2)/(8ab)`

`Length = (14a^3b^2)/(ab)`

Apply law of indices

`Length = 14a^(3-1)b^(2-1)`

`Length = 14a^2b`