What is the area of the composite figure? All units are inches.
A) 17 in2
B) 12 in2
C) 22 in2
D) 19 in2

option D is the correct answer.

Step-by-step explanation:

The composite figure consists of a triangle and a rectangle.

The triangle can be divided into 2 equal right angle triangle because it is an isosceles triangle.

The base of the isosceles triangle is 2 + 2 + 2 = 6 inches

The base of each right angle triangle = 6/2 = 3 inches

To determine the height,h of the triangle, we would apply Pythagoras theorem.

Hypotenuse² = opposite side² + adjacent side²

5² = 3² + h²

h² = 25 - 9 = 16

h = √16 = 4

The formula for determining the area of a right angle triangle is expressed as

Area = 1/2 × base × height

Area = 1/2 × 3 × 4 = 6 inches²

Area of the isosceles triangle

= 6 × 2 = 12 inches²

Area of the rectangle is

3.5 × 2 = 7 inches²

Area of the composite figure is

12 + 7 = 19 inches²