Answer:
In the question statement is specified that this is an irregular figure. Thus, we can round the answer to 45 squares ² . The correct answer is D. 45.
Explanation:
1. In the irregular figure we can identify:
A. A square of 5 squares length and width
B. A trapezoid whose bases measure 5 and 3 squares and its height measure 3.
C. A triangle of base 5 squares and height 4 squares
2. Let's find out the area of these three geometric figures:
A. Square
Area = 5 * 5 = 25 squares ²
B. Trapezoid
Area = (Base₁ + Base₂)/2 * Height
Area = 3 + 5/2 * 3
Area = 8/2 * 3 = 12 squares ²
C. Triangle
Area = (Base * Height)/2
Area = 5 * 4/2 = 20/2 = 10 squares ²
3. Now we can add up these areas to find out the area of the irregular figure:
Area of the irregular figure = Area of the square + Area of the trapezoid + Area of the triangle
Area of the irregular figure = 25 + 12 + 10
Area of the irregular figure = 47 squares ²
In the question statement is specified that this is an irregular figure. Thus, we can round the answer to 45 squares ² . The correct answer is D. 45.