Answer:
193.5[tex]m^{2}[/tex]
Step-by-step explanation:
This shape is called a compound shape. Essentially, it is many smaller shapes put together to form one big one. To calculate the area of a compound shape, you must split it into the said smaller shapes.
In this particular question, the only 2 shapes involved are squares (or rectangles, but they require the same formula) and triangles. Simply calculate the area of these shapes, and add them all up. I would draw lines to separate each shape.
Formulas:
area of square = b x h
area of triangle = (b x h) / 2
So:
it is the area of all the triangles + area of the rectangles
= 1/2 × 12 × 20 + 1/2 × 7 × 7 + 5 × 8 + 3 × 3
= 193.5
(You can just do this bit on a calculator, I have attached an image)
Hope this helps! Good luck. Have a lovely day/night!
- profparis
