Question

Write the algebraic expression representing the perimeter of marlene’s house in simples form.

Answer 1

The perimeter of Marlene's house is the total distance around the edge of her house.

The perimeter can be calculated thus:

`\begin{gathered} (2x-10)+(x-2)+((1)/(2)x-4)+(x-2)+(x-2)+(x)+(2x+2)+ \\ ((1)/(2)x-4)+(x-2)+(x-2)+(x) \end{gathered}`

Collect like terms

`\begin{gathered} (2x+x+(1)/(2)x+x+x+x+2x+(1)/(2)x+x+x+x)\text{ +} \\ (-10-2-4-2-2+2-4-2-2) \\ =12x-26 \end{gathered}`

Therefore, the algebraic expression representing the perimeter of Marlene's house is

`12x-26`