Answer: 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
