Answer:
148cm²
Step-by-step explanation:
seriously why, just why? okay, hold on, we're gonna be here a while
Let's start with the triangles, they're all equal, and we already have their measurements and the formula for the area of a triangle is base x height ÷ 2, so all we have to do is plug:
5 x 8 = 40
40 ÷ 2 = 20
Now we have to multiply by 3 because there's 3 of these abominations:
20 x 3 = 60
So we put that on a back burner while we do the semicircle
So the formula for the area of a circle is pi x radius², so we have to find the radius. We know that each of the triangle bottoms is 5cm, so we just multiply by 3:
5 x 3 = 15
So the diameter of the semicircle is 15cm, now we divide that by two to find the radius:
15 ÷ 2 = 7.5
Now we just plug that into our formula (we're using 3.14 for pi)
7.5² = 56.25
3.14 x 56.25 = 176.625
Usually, we'd stop there, but it's only half of a circle, so:
176.625 ÷ 2 = 88.3125
So now we add both of our areas:
60 + 88.3125 =
148.3125
Normally, that would be the answer, but since we're supposed to be estimating, we round it to the nearest whole number:
148.3125 -> 148
So the area of the figure is 148cm²
if this is wrong, let me know so I can fix it
hope this helps:)
