Question

Johnny is designing a playground model for a school project. the design below will be the foundation of his model. what is the area of the model John design? use 3.14 for p.​

Answer 1

586.17

Explanation:

Area of triangle = 1/2 x base x height

`= (1)/(2) * 18 * 7 \\ = (1)/(2) * 126 \\ = 63 {cm}^(2)`

Area of Rectangle = Length x Width

`= 22 * 18 \\ = 396 {cm}^(2)`

Area of Semicircle =

`(1)/(2) \pi {r}^(2) \\ = (1)/(2) (3.14)(9) {}^(2) \\ = 127.17cm {}^(2)`

Total Area = Area of Triangle + Area of Rectangle + Area of Semicircle

`= 63 + 396 + 127.17 \\ = 586.17cm {}^(2)`