Video Transcript
If the area of each shape is given by the expression written inside it, write an expression for the sum of their areas.
In this question, we have been given four shapes with areas of 11, seven 𝑥, two 𝑥, and four 𝑥 squared. We’ve been asked to write an expression for the sum of these areas. We have that the sum of the areas is 11 plus seven 𝑥 plus two 𝑥 plus four 𝑥 squared.
Now, we notice that there are two like terms which we can combine, that is, two terms, seven 𝑥 and two 𝑥, with the same variable, 𝑥, where the variable is raised to the same power, which in this case is one. Combining those two terms, our expression for the sum of the areas becomes 11 plus nine 𝑥 plus four 𝑥 squared. And this is our solution to this question.
