Question

May someone please give me the answer to this question?

Answer 1

`\huge\boxed{\sf 116\ in.\²}`

Explanation:

The composite figure is made up of two shapes.

• Rectangle
• Semicircle

Area of rectangle:

= Length × Width

Where L = 13 in., W = 7 in.

= 13 × 7

= 91 in.²

Area of semi-circle:

`\displaystyle =(\pi r^2)/(2) \\\\\underline{Where \ r:}\\\\= (13-5)/(2) \\\\= (8)/(2) \\\\= 4 \ in.\\\\So,\ the \ above\ equation \ becomes\\\\= ((3.14)(4)^2)/(2) \\\\= ((3.14)(16))/(2) \\\\= (3.14)(8)\\\\= 25.13 \ in.^2`

Area of composite figure:

= Area of rectangle + Area of semi-circle

= 91 + 25.13

= 116.13 in.²

≈ 116 in.²

`\rule[225]{225}{2}`