Question

The following shape has

\[1\] pair of parallel sides.
A 5 sided figure split into 3 sections by dashed lines. The base of the figure is 16 units and the height is 8 units. The base of the first right triangle is 8 units and the height is 8 units. The base of the rectangle is 2 units and the height is 5 units. The base of the second right triangle is 6 units and the height is 5 units.
\[5\]
\[8\]
\[2\]
\[6\]
\[3\]
A 5 sided figure split into 3 sections by dashed lines. The base of the figure is 16 units and the height is 8 units. The base of the first right triangle is 8 units and the height is 8 units. The base of the rectangle is 2 units and the height is 5 units. The base of the second right triangle is 6 units and the height is 5 units.
What is the area of the shape?


\[\text{units}^2\]

Answer 1

The total area of the 5-sided shape is found by summing the areas of each section - two right triangles and a rectangle - totaling 57 square units.

Step-by-step explanation:

The area of the entire 5-sided shape can be calculated by finding the area of each of the three sections and then adding them together.

The formula for the area of a triangle is 1/2 × base × height, and the area of a rectangle is base × height.

• Area of the first right triangle: 1/2 × 8 units × 8 units = 32 square units.
• Area of the rectangle: 2 units × 5 units = 10 square units.
• Area of the second right triangle: 1/2 × 6 units × 5 units = 15 square units.

Total area of the shape = 32 + 10 + 15 = 57 square units.