1. Estimate the area of the figure. The area of each square
is one square unit.
2. What is the total surface area of a rectangular room 6 meters by 7 meters by 4 meters high? Ignore doorways and windows.
3. If 8 oz of dough are needed to make a 12"-diameter pizza, how much dough is needed to make a 16" pizza whose crust is of the same thickness?
4. Assume the measurements in the below figure
are in centimeters. You are to produce 10,000 of these widgets, and each
must be electroplated with a thin layer of high-conducting silver. find
the total silver cost if silver plating costs $1 for each 200 square centimeters.
5. Graph parallelogram ABCD with A(0,0), B(14,0), and D(6,80, then find its area.
6. Graph quadrilateral FOUR with F(0,0), O(4,-3), U(9,5), and R(4,15), then find its area.
7. Graph triangle ABC with A(0,0), B(16,0), and C(12,9), then find its area.
8. Graph circle O with points P(-8,2) and Q(12,2) as the endpoints of a diameter, then find its area.
9. Al Dente's Pizzeria sell cheese pizza by the slice according to the diagram below. Which slice gives the best deal (the most pizza per dollar)?
10. The sum of the lengths of the two bases of a trapezoid is 22 cm, and its area is 66 cm squared. What is the height of the trapezoid?
11. Find three different polygons, each with an area of 24 square units, on the grids.
12. Find thee area of a regular pentagon to the nearest tenth of a square centimeter if the apothem measures approximately 6.9 cm and each side measures approximately 10 cm.
13. Which is the bigger slice of pie: one fourth of a 6"-diameter pie, one sixth of an 8"-diameter pie, or one eight of a 12"-diameter pie?
14. Utopia Park has just installed a circular fountain 8 meters in diameter. The Senior Citizens Committee for Better Parks for All People has requested that a 1.5 m wide path be paved around the fountain. If paving costs the city $10 per square meter, find the cost to the nearest dollar of the paved ring around the fountain.
15. Igor wants to make a pen for his pet, Isosceles. What is the area of the largest rectangular pen that Igor can make with 100 meters of fencing if one side of the castle is used for one side of the pen?
16. The George Washington High School Math Club held it Fibonacci Birthday Party at Pedro's Pizzeria. The 16 members present all agreed they should order 4-item pizzas. Together they had $84. Being very calculating, they agreed they should determine which purchase would give the most pizza per dollar. They came up with four purchase possibilities: 8 small pizzas, 6 medium pizzas, or 4 extra large pizzas (sizes listed are diameters). Determine which possibility is the best deal (the most pizza for the dollar). Will the best deal give the most pizza? What is the most pizza the club can get for $84?
Type |
Size |
3 items |
4 items |
small |
10" |
$9.00 |
$10.50 |
medium |
12" |
$11.25 |
$13.00 |
large |
14" |
$14.00 |
$16.00 |
extra large |
16" |
$18.00 |
$20.00 |
17. Patricia's Pizza Pavilion is providing pizza for Pittsburgh High School's polo team pizza party. The team orders two 12"-diameter pizzas at $9.00 each and three 16"-diameter pizzas at $14.00 each. Each 12" pizza is cut into six congruent slices and each 16" pizza is cut into eight congruent slices. If Pepper Little eats one slice from the big 16" pizza and two slices from the 12" pizza, how much should she pay? If Peter Small eats two slices from the big 16" pizza and one slice from the 12" pizza, how much should he pay?
18. How many square inches of pizza did Pepper eat in problem 17? How many square inches of pizza did Peter eat? Which pizza gives the most pizza per dollar? Who got the better deal (the most pizza per dollar)?
19. What is the area of the figure below (to the nearest 0.1 cm)? the diameter of the large semicircle is 28 cm.
