Area Questions and Answers

A rectangular swimming pool has a length of 37 feet, a width of 17 feet and a depth of 5 feet. Round answers to the nearest hundredth as needed. (a) How many cubic feet of water can the pool hold? _____ cubic feet (b) The manufacturer suggests filling the pool to 95% capacity. How many cubic feet of water is this? ______ cubic feet

The volume of a cone with radius r and height h is given by the formula V=1/3(πr² h). A cone-shaped pile of sawdust has a base diameter of 26 feet, and is 10 feet tall. The volume of the sawdust pile is____ft³.

Determine the area of the parallelogram with vertices (2.7, 6), (5, 6, 5), (-7, 12. 12), and (-4, 11, 11). Use the square root symbol '' where needed to give an exact value for your answer. Area =

Luke uses rug hooking to make a new rug. He estimates that the cost of the yarn will be $5 per foot. How much will he spend on yarn? The diameter of the rug is 4.5 feet. What is the radius? _____________ feet What is the area of the rug? A = πr² A=( _________)( __________)² A=( _________)( __________) Area is ____________square feet How much will the yarn cost? total cost = (price)(amount) Cost =( $_________)( __________) . Cost = $ ________

A town has two shopping malls. A survey conducted on the shopping preferences of the town's residents showed that 62% of the residents visit Comet Mall, 73% of the residents visit Star Mall, and 48% of the residents visit both malls. The probability that a resident chosen at random shops at either Comet Mall or at Star Mall is ______%

Select the correct answer from each drop-down menu. Car Mod Brake Failure in New Car A 0.0065% B 0.0037% C 0.0108% D 0.0029% E 0.0145% Total 0.0048% The table gives the probabilities that new cars of different models will have brake failure. The car model that is least likely to have a brake failure is model ______,and the probability of brake failure for this model is ______

A square is inscribed in a circle with a radius of 22. If a point in the circle is chosen at random, what is the probability that the point is inside the square?

Select the correct answer. The probability of a student scoring 75% in class work is 0.64, and the probability of a student scoring 85% is 0.45. Event A: The student scores 75%. Event B. The student scores 85%. The probability of a student scoring 85% in class work, given that they have already scored 75% in class work, is 0.55. The probability of a student scoring 75% in class work, given that they have already scored 85% in class work, is 1. Which statement is true? A. Events A and B are independent because P(A|B) = P(A). B. Events A and B are independent because P(A|B) = P(B). C. Events A and B are independent because P(A|B) = P(A) + P(B). D. Events A and B are not independent because P(A|B) ≠ P(A). E. Events A and B are not independent because P(A|B) = P(A).

A box contains shirts in two different colors and two different sizes. The numbers of shirts of each color and size are given in the table. Size Shirt Color Large Medium Total Red 42 48 90 Blue 35 40 75 Total 77 88 165 From the data given in the table, we can infer that a)P(red shirt | large shirt) = P(large shirt) b)P(blue shirt | large shirt) = P(blue shirt) c)P(shirt is medium and blue) = P(medium shirt) d)P(large shirt | red shirt) = P(red shirt)

Find the volume of a sphere that has a circumference of 20π yards. 104.67 yd³ 314 yd³ 4186.67 yd³ 12,560 yd³

A person signed a 210-day simple discount note with a face value of $10,000 and a rate of 14% on Feb. 19. The lender sells the note at a discount of 13% on July 20. Find the proceeds of the original note, the discount period, the discount, and the proceeds at the sale of the note on July 20. Use banker's interest of 360 days. Click the icon to view the Number of Each of the Days of the Year table. The proceeds of the original note are $ ___(Round to the nearest cent.) The discount period is_____days. The discount is $ ___(Round to the nearest cent.) The proceeds of the sale of the note on July 20 are $ _____

If the perimeter of a square is 140 inches, what is its area? 1225 in.² 19,600 in.² 140 in.² 35 in.²

Directions: Use the given information to find the desired measurement. There is a border around a semicircle garden with a diameter of 18 feet. What is the length of the border around the curved part and the diameter?

Find the radius and area of a circle with a circumference of 50.24. Round your answer to the nearest tenth. Use 3.14 for π Radius= Area =

A cube has a side length of x + 3 inches. What is the surface area of the cube?

The side of a cube is 2x + 1 units. What is its surface area?

Find the area of a rhombus with a perimeter of 48 and one angle of 60° Area =

The diagonals of a rhombus are 6 and 8. A) Find the area of the rhombus. Area= B) Find the height of the rhombus. Height =

A certain shampoo is available in two sizes. A 12.6-ounce bottle costs $2.97. A 22.8-ounce bottle costs $4.97. Find the unit price for each size. Then state which size is the better buy based on the unit price. Unit price for the 12.6-ounce bottle: Unit price for the 22.8-ounce bottle:

Nicole has a rectangular poster. The poster is 1.6 meters long and 1.2 meters wide. What is the area of the poster in square centimeters? Do not round your answer. Be sure to include the correct unit in your answer.

A rectangular board is 1100 millimeters long and 900 millimeters wide. What is the area of the board in square meters?

Each marble bag sold by Yolanda's Marble Company contains 3 blue marbles for every 5 green marbles. If a bag has 27 blue marbles, how many green marbles does it contain?

A coffee pot holds 4 1/4 quarts of coffee. How much is this in cups? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.

The circumference of a circular garden is 69.08 feet. What is the radius of the garden? Use 3.14 for π at and do not round your answer.

Fill in the blanks. Then, choose the property of multiplication you used. (a) ___ × 3 = 3 (b) 3 × (5 × 6) = (3 × 5) × ___ (c) 2 × ___ = 7 × 2 (d) 4 × 0 = ___

Find the area of the following rectangle. Write your answer in simplest form. Be sure to include the correct unit in your answer.

The figure diagrams the driveway pad for the Jefferson's house. It is made up of a semicircle, a square, and a triangle. How much asphalt (in square meters) should be ordered to cover the pad? The Jeffersons would like to set stone pavers all the way around the pad. If the pavers are 50 cm long, how many should they order? (Take π = 3.14. Give your answers correct to the nearest whole number.)

Faculty of Science and Mathematics plans to build a water tank at the FSM pineapples farm to store water for the purpose of the farm. The water tank will be built in the form of a regular hexagonal prism. Suppose that each base edge measures 1.3 m and the apothem of the base measures 1.1 m with the altitude of 2.25 m. a. Prove formally that the total area of the water tank that needs to be painted is 21.84 m² (assuming that the lower base needs not to be painted). [16 marks] b. Suppose that volume of 1 m³ can be filled with 1,000L of water. How much water can fill the water tank in (a)? (Justify for all the works)

Each of the 7 cats in a pet store was weighed. Here are their weights (in pounds). 16, 11, 7, 13, 6, 16, 6 Find the mean and median weights of these cats. If necessary, round your answers to the nearest tenth.

The 6 students in Mr. Bailey's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered. 11, 12, 6, 7, 8, 12 Find the median and mean travel times for these students. If necessary, round your answers to the nearest tenth.

A ring-shaped region is shown below. Its inner diameter is 28 ft, and its outer diameter is 36 ft. Find the area of the shaded region. Do not round any intermediate steps. Round your answer to the nearest hundredth. If necessary, refer to the list of geometry formulas.

A ring-shaped region is shown below. Its inner radius is 20 m. The width of the ring is 6 m. Find the area of the shaded region. Do not round any intermediate steps. Round your answer to the nearest hundredth. If necessary, refer to the list of geometry formulas.

If a parallelogram is a rhombus, then its diagonals are congruent parallel vertical perpendicular

Sketch the region enclosed by y= 2x and y=3x². Find the area of the region.

Find the area enclosed by x - 2 = y² and x = 1, y = 2 in the first quadrant.

A circular flower bed is 22 m in diameter and has a circular sidewalk around it 1 m wide. Find the area of the sidewalk in square meters. The area of the walk is

A rectangular field is 15 yards in length and 48 feet in width. What is the area of the field in square feet? ft² What is the area of the field in square yards? yd²

Find the area of a circle with a diameter of 8 yards. Use ≈ 3.14. The area of the circle is approximately__________square yards. Enter only the number. The solution is___________

Let R be the region enclosed by the graph of y-1+(cos^4 x), the x-axis, and the lines x=-2/3 and x=2/3 The closest integer approximation of the area of R is (A) 0 (B) 1 (C) 2 (D) 3 (E) 4