Question

Find the total area of the entire figure. *

Answer 1

Answer:

392.5 in²

Step-by-step explanation:

This figure is consists of a trapezium and a rectangle.

So, to find the total area of the figure you have to find the area of the trapezium and the rectangle separately  and add them together.

Let us find now.

Area of the Trapezium

Area = $\frac{1}{2}$ × ( sum of the parallel sides ) × height

Area = $\frac{1}{2}$ × (  9 + 20 ) × 5

Area = $\frac{1}{2}$ × 29 × 5

Area = $\frac{1}{2}$ × 145

Area = 72.5 in²

Area of the rectangle

Area = Length × Width

Area = 20 × 16

Area = 320 in²

Total area of the figure

Total area = Area of the trapezium + Area of the rectangle

Total area = 72.5 in² + 320 in²

Total area = 392.5 in²

Hope this helps you :-)

Let me know if you have any other questions :-)