Question

for Schook: Practice & Problem Solving 74PS-17 Question Help What is the area of the polygon? 4 2 9 6 4 O A. 80 square units OB. 84 square units OC. 73 square units OD. 83 square units Click to select your answer and then click Check Answer All parts showing Clear All Check Answ

Answer 1

80 square units

Step-by-step explanation:

Before we calculate the area of the polygon, we need to first know that one square box represents 1 unit.

The area of the figure = area of the big rectangle + area of the triangle + area of the small rectangles + area of the small square

Area of the big rectangle = Length * Width

Area of the big rectangle = 12units * 6units

Area of the big rectangle = 72 units^2

Area of the triangle = 1/2 * base * height

Area of the triangle = 1/2 * 5 * 2

Area of the triangle = 5units^2

Area of the small rectangle = (2*1) = 2units^2

Area of the small square = 1* 1 = 1 units^2

Area of the figure = 72 + 5 + 2 + 1

Area of the figure = 80units^2

Hence the area of the figure is 80 square units