Question

Students are making the scenery for a school play. They use a large piece of plywood to represent the front of a house, with a semicircular window cut out. Now they need to paint the plywood. Find the area that will be painted. 2. Describe your strategy for finding the area that needs to be painted. (2 points)

Answer 1

Considering the figures, the area that will be painted is of 38.9 square feet.

What is the area of a rectangle?

The area of a rectangle of length l and width w is given by:

$A = lw$

What is the area of a triangle?

The area of a triangle of base b and height h is given by:

$A = \frac{bh}{2}$

What is the area of a semi-circle?

The area of a semi-circle of radius r is given by:

$A = 0.5\pi r^2$

In this problem:

• The rectangle with l = 6 ft and w = 8 ft will be painted, along with the triangle of dimensions b = 8 ft and h = 4 ft.

• The semi-circle with r = 4 ft will not be painted.

Hence, the area that will be painted, in square feet, is given by:

$A = 6 \times 8 + \frac{8(4)}{2} - 0.5\pi 4^2 = 64 - 8\pi = 38.9$

More can be learned about the area of a figure at brainly.com/question/10489198