Question

Please help me I'm begging.

This composite figure is made up of three similar shapes. what is the area of the figure? Use 3.14 for π.

Answer 1

A= 67.12cm²

Explanation:

You need to divide them into 3 shapes. There is a rectangle, triangle and a semi-circle. First let's do the area of the rectangle:

A1 = 3cm * 6cm = 18cm²

Then the triangle:

A2 =
`(1)/(2)` * 8cm * 6cm =
`(48)/(2)` = 24cm²

Finally the half circle:

A3 = πr² = 3.14 * (
`(8)/(2)`)² = 3.14 * (4)² = 3.14 * 16 = 50.24cm² = 25.12cm²

2 2 2 2 2

We divide 8 by 2 since 8 is a diameter and area is πr² so we need to convert it to a radius.

To get the total area, you add it all up

A1 + A2 + A3 = 18 + 24 + 25.12 = 67.12cm²

Answer 2

D. 67.12 cm²

Explanation:

The figure is made up of a rectangle, triangle and a semicircle.

Formula

• Area of a rectangle = width × length
• Area of a triangle = 1/2 × base × height
• Area of a semicircle = 1/2 πr²

Area of rectangle = 3 cm × 6 cm

= 18 cm²

Area of a triangle = 1/2 × 6 cm × 8 cm

= 24 cm²

Area of a semicircle = 1/2 × 3.14 × 4²

= 1/2 × 3.14 × 16

= 25.12 cm²

Total area = 18 cm² + 24 cm² + 25.12 cm²

= 67.12 cm²