Estimate the area of the irregular figure. each box is 1 square unit.

a) 55
b) 65
c) 35
d) 45

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.

Step-by-step 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.

they are simplified

step-by-step explanation: