Question

Anna needs to find the area of a figure that can be separated into a square and a triangle. The base of the triangle is 18 cm, and its height is 10 cm. The length of the side of the square is equal to the base of the triangle. Which expression can Anna use to find the area of the figure?

Answer choices in picture

Answer 1

Answer: It is D (18)² + 1/2 (18)(10)

Explanation:

because the area of a square is L x L so if the length is 18 you would multiply 18 by 18 which is 18²

and the area of a triangle is (bh)1/2 or (bh)÷2. So if the base is 18 and the height is 10 you would do 1/2(18 x 10) and then you would add the area of the square together with it which is

(18)² + 1/2 (18)(10)

Answer 2

The expression is

`(18)^(2) +(1)/(2)(18)(10)`

Explanation:

we know that

The area of the figure is equal to the area of the square plus the area of a triangle

so

`A=b^(2) +(1)/(2)(b)(h)`

we have that

`b=18\ cm`

`h=10\ cm`

substitute the values

`A=(18)^(2) +(1)/(2)(18)(10)=414\ cm^(2)`