Find the area. The figure is not drawn to scale.
A figure is composed of a rectangle and a right triangle. The triangle is adjacent to the lower part of the right side of the rectangle. The bottom sides of each figure are collinear.On the rectangle, the bottom side equals 9 centimeters. The left side equals 13 centimeters. The top side equals 9 centimeters. The distance from the top side to the top vertex of the triangle is 8 centimeters.
On the triangle, the bottom side is 11 centimeters.
(1 point)
Responses
144.5 cm²
144.5 cm²
127 cm²
127 cm²
172 cm²
172 cm²
50 cm²
To find the area of the figure, we need to add the areas of the rectangle and the right triangle.
The area of the rectangle is given by length x width. In this case, the length is 13 cm and the width is 9 cm, so the area of the rectangle is 13 cm x 9 cm = 117 cm².
The area of a right triangle is given by the formula (base x height) / 2. In this case, the base is 11 cm and the height is 8 cm, so the area of the triangle is (11 cm x 8 cm) / 2 = 44 cm².
Therefore, the total area of the figure is 117 cm² + 44 cm² = 161 cm².
None of the given options match the correct answer.