Question

Ziyad's brother has a plot of land as shown in the diagram below.

What is the total area of this plot of land? Show each step and explain the steps you took to solve the problem.

Answer 1

The total area of this plot of land is:

`2x(2x + 6) + (1)/(2) (2x)(x + 8)`

Use the Associative and Distributive Properties:

`4 {x}^(2) + 12x + {x}^(2) + 8x`

Combine like terms:

`5 {x}^(2) + 20x`

Factor:

`5x(x + 4)`