Question

Two squares are attached to the sides of a quarter circle as shown.

Answer 1

First, you have to split the figure into three shapes, two squares and 1/4 of a circle

Now find the area of the two square
A = lw
A= (10)(10)
A= 100

Now that you have the area measurement for both squares you need to find the measurement of the 1/4 of the circle.

$A = \pi r^{2}$
$A = (3.14)(10) ^{2}$
A = (3.14)(100)
A= 314

But that measurement is for the whole circle so you have to divide it by four
A = 314/4
A = 78.5
Now that you have the measurements for all three shapes of the figure you can add them up to get the entire areas of the figure
A = 78.5 + 100 + 100A = 278.5
So the area for the figure is 278.5 square mm
The answer is D