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?ResponsesA (18) + 12(18)(10)(18) + 1 2 (18)(10)B 2(18) + 12(18)(10)2(18) + 1 2 (18)(10)C (18)2 + (18)(10)( 18 ) 2 + (18)(10)D (18)2 + 12(18)(10)
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?ResponsesA (18) + 12(18)(10)(18) + 1 2 (18)(10)B 2(18) + 12(18)(10)2(18) + 1 2 (18)(10)C (18)2 + (18)(10)( 18 ) 2 + (18)(10)D (18)2 + 12(18)(10)
Solution
The area of a square is found by squaring the length of one of its sides. The area of a triangle is found by multiplying the base by the height and then dividing by 2.
Given that the base of the triangle and the side of the square are both 18 cm, and the height of the triangle is 10 cm, Anna can use the following expression to find the total area of the figure:
Square Area + Triangle Area = (18^2) + 1/2(18)(10)
So, the correct answer is C: (18^2) + (18)(10)
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