NOTES
AREA PROBLEMS
1. Ron is making a wooden table. He has a square piece of wood that is 8 feet by 8 feet. The
table can be round or square.
Find to the nearest tenth of a square foot, the difference in the area of the 2 possible tabletops.
8 feet
8 feet
2. A new outdoor theatre is going to be built. It will be rectangular in shape with a stage shaped
like a trapezoid. The entire building will be 100 feet long and 80 feet wide. The stage will be
built so the back of it is against one wall of the theatre and it will have a front edge that is 50
feet wide. The stage will be 20 feet deep. The rest of the floor place will be used for seating
and electronic equipment. The diagram shows the layout of the theatre. How many square
feet of floor space will be left after the stage is built?
Floor space
50 ft
80 feet
100 feet
3. What is the diameter of a circle whose area is 36?
4. A new logo for a clothing design is shown. The large square background shape is 8 inches on
each side. The rectangular insert is 5 inch by 4 inches. The circle has a radius of 2 inches.
a) What is the area, to the nearest tenth of a square inch, of the circle?
b) What is the area, to the nearest tenth of a square inch, of the shaded area?
c) What percent of the area of the design is shaded, to the nearest percent?
5. If the circumference of a circle is 10 inches, what is the area, in square inches, of the circle?
6. In the accompanying figure, the large rectangle, ABCD, is divided into four smaller
rectangles. The area of rectangle AEHG = 5x, the area of rectangle GHFB = 2x2, the area of
rectangle HJCF = 6x, segment AG = 5, and segment AE = x.
a) Find the area of the shaded region.
b) Write an expression for the area of rectangle ABCD in terms of x.