Question

A rectangle has a height of 5 and a width of 4x2 – 2x – 6.

Express the area of the entire rectangle

Expression should be expanded.

Answer 1

The area of the rectangle is given by the expression "20x² - 10x - 30".

Explanation:

The area of a rectangle is given by the product of it's dimensions. This is shown in the formula bellow:

area = width*height

In this case the width is an expression, so we need to multiply the numeric part of each mnemonic

area = 5*(4x² - 2x - 6)

area = 20x² - 10x - 30

The area of the rectangle is given by the expression "20x² - 10x - 30".