Your answer would be 91.1 units². We can split this shape into a trapezium and a semicircle, and then find the area of both and add them. To find the area of a trapezium, the formula is (a + b)/2 × h, which means we do 14 (the length of AD) + 8 (the length of BC) = 22, and 22/2 = 11. Then we multiply 11 by the height of the trapezium, which is 6 because 10 - 4 = 6. This gives us the area of the trapezium as 66 units². To find the area of a semicircle, the formula is πr²/2, and the radius is 4 because the diameter is 8 (16 - 8 = 8). This means we do π4²/2 = 16π\2 = 8π = 25.13. Then we need to add together 66 and 25.13, which equals 91.13, or 91.1 to the nearest tenth. I hope this helps!
Alright, I have decided to do my best to help. So, first we need to break this up into shapes. First shape is half of a circle. We can see it on the top. So, our circle's diameter is four units, the radius is 2 units. Now, the formula for finnding the area of a circle is pi times radius squared. So, what is pi? Pi is 3.14. So, the equation is 3.14 x 2^2. So, using PEDMAS we know that exponets come before multiplication. So, 2 squared is 4. And four times 3.14 is 12.56. But, there's something special that I made note of earlier, this is half of a circle. So, we must divide by two. And 12.56 divided by 2 is 6.28. Just three more shapes to go!!! Next we have a trapazoid. Our trapazoid is made up of a ssquare and two triangles. Let's do our triangle on the left first. The formula for calculating the area of a trianlge is height times width divided by two. So, our triangle is three units tall and one unit wide. One times three equals three. Three divided by two is 1.5. That's that answer. Next is the triangle on the right. The triangle on the right is three units tall and two units wide. Three times two equals six and six divided by two is three. And last but not least is our square. It's three units tall and fouor units wide. Three times four is twelve. So, now we add up all our areas. 6.28 + 1.5 + 3 + 12 = 22.78 units^2. There's the asnwer!!! I hope this helped!! Sorry it took me a while to type out!!!
