Question

Landon used a semicircle, a rectangle, and a right triangle to form the figure below. Which is the best estimate of the area of the figure in square centimeters?

Answer 1

Let’s start with the rectangle. 6(4) = 24 cm^2.
The triangle is 1/2(bh).
We know the bottom of the triangle is 4 because 10-6=4.
4(4) = 16
16/2 = 8
We’re at 32 square cm so far.
Now the semi circle.
The diameter is 4, so the radius is 2.
A = (pi)r^2
A = (pi)4
A= 4pi
Best estimate could be expressed as 32 + 4pi cm^2, or substituting 3.14 for pi, 44.56 cm^2

Answer 2

38.28cm^2

Explanation:

Area of rectangle = 24cm^2

Area of rectangle = 8cm^2

Area of semicircle = 6.28cm^2