Question

Find the area of the composite figure and round the nearest tenth

Answer 1

The area of the composite figure is 1360 ft.

Explanation:

First, you should split up the composite figure into separate shapes.

So to find area of the triangle all the way on the left, you multiply base x height then divide by 2.

30 x 34 = 1020 ÷ 2 = 520.

Then, moving on to next shape, we can break up the trapezoid into a rectangle and a triangle.

To find area of the rectangle you multiply length x width.

16 x 30 = 480.

Finally, we have the last triangle right above the rectangle. Keep in mind that the rectangle does not have a length of 40!

You have to subtract 40 - 16 which equals 24.

30 x 24 = 720 ÷ 2 = 360.

Now that we have all 3 numbers, we simply add them all together and you will get an answer of 1360 ft.

Remember to label your answer!

Answer 2

1080 ft^2

Explanation:

We are given a composite figure that consists of a triangle and a trapezoid.

We know that the area of these two shapes is given by the following formulas so we will put in the given values to get:

Area of triangle =
`(1)/(2) * b * h` =
`(1)/(2) * 16 * 30` = 240 ft^2

Area of trapezoid =
`(a+b)/(2) h` =
`(16+40)/(2) 30` = 840 ft^2

Area of composite figure =
`240+840` = 1080 ft^2