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

Answer:

D.  67.12 cm²

Step-by-step 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

Answer 2

Answer:

A= 67.12cm²

Step-by-step 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 = $\frac{1}{2}$ * 8cm * 6cm = $\frac{48}{2}$ = 24cm²

Finally the half circle:

A3 = πr² = 3.14 * ($\frac{8}{2}$)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