Let's calculate the area of the figure

Question

Let's calculate the area of the figure

https://ibb.co/XZ22pk6S

Answer 1

This seems to be a duplicate question, so I'm copying the same answer here.

This is called a composite figure, which means it's several figures joined together. So you need to get the area of each piece and add them together. We have a square, a triangle and a semi-circle.

1. Let's start with the square. The area formula is A=s², so for this figure A=6², which is 36 cm²
2. The triangle formula is A=¹/₂bh. The base of the triangle is 6 cm, and the height is 5 cm. So filling in the formula A=¹/₂(6)(5) = 15 cm²
3. The semi-circle formula is A=¹/₂πr². Filling that in, we get A=¹/₂π(3)². Using π≈3.14, we get A=14.137
4. Adding all of that together, we get 65.137 cm²

Answer 2

Total area of the shape = area of the square + area of the triangle + area of the semicircle

Total = (side)(side) + 1/2(base)(height) + 1/2π(radius)²

Total = (6)(6) + 1/2(6)(5) + 1/2π(3)²

Total = 36 + 15 + 4.5π

Total = 65.1 cm²