Question

Write an expression to show the area of the combined shapes below

Answer 1

Explanation:

Let's start with the first rectangle with a lenght of 3c+2

• let A1 be the area of that rectangle :
• A1= (3c+2)*2c

Now the second rectangle :

• Let A2 be the area of that triangle :
• A2= (3c+2-(2c+2))*(3c-2c)
• A2= (3c+2-2c-2)*c
• A2= c*c

Let At be the total area :

• At= (6c²+4c)*c² = (6c∧4 +4c³ )

Answer 2

11c

Explanation:

3c+2 ( 2c) = 7c

2c+2(1c)= 4c

7c +4c= 11c