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# area

1. ### a painter is painting a circular sculpture. The sculpture has a radius of 5 meters. How much paint s

a painter is painting a circular sculpture. The sculpture has a radius of 5 meters. How much paint should she use to paint the sculpture Area of a circle (A) is: A = πr² Substituting r = 5 into this formula, we get: A = π * 5² A = 25π
2. ### A bag of fertilizer covers 300 square feet of lawn. Find how many bags of fertilizer should be purch

A bag of fertilizer covers 300 square feet of lawn. Find how many bags of fertilizer should be purchased to cover a rectangular lawn 290 feet by 150 feet. The area of a rectangle is length * width, so we have: A = 290 * 150 A = 43,500 sq ft. Now, to find the number of bags needed for a 300...
3. ### A diving board is 10 feet long and 1 foot wide. What is its area?

A diving board is 10 feet long and 1 foot wide. What is its area? A diving board is a rectangle. And the area of a rectangle is: A = lw Plugging in our numbers, we get: A = 10(1) A = 10 sq feet
4. ### A framed print measures 80cm by 65cm. The frame is 5cm wide. Find the area of the unframed print

A framed print measures 80cm by 65cm. The frame is 5cm wide. Find the area of the unframed print. We subtract 5 cm from the length and the width to account for the frame: Unframed Length: 80 - 5 = 75 Unframed Width: 65 - 5 = 60 Area of the unframed rectangle is: A = lw A = 75(60) A = 4,500 sq cm
5. ### If 800 feet of fencing is available, find the maximum area that can be enclosed.

If 800 feet of fencing is available, find the maximum area that can be enclosed. Perimeter of a rectangle is: 2l + 2w = P However, we're given one side (length) is bordered by the river and the fence length is 800, so we have: So we have l + 2w = 800 Rearranging in terms of l, we have: l =...
6. ### If the circumference of a circular rug is 16π feet, then what is the area of the rug in terms of pi

If the circumference of a circular rug is 16π feet, then what is the area of the rug in terms of pi C = 2pir, so we have: C = 16π 16π = 2πr Divide each side by 2π: r = 16π/2π r = 8 Now, the area of a circle A is denoted below: A = πr^2 Given r = 8 from above, we have: A = π(8)^2 A = 64π
7. ### A rectangular football pitch has its length equal to twice its width and a perimeter of 360m. Find i

A rectangular football pitch has its length equal to twice its width and a perimeter of 360m. Find its length and width. The area of a rectangle (A) is: A = lw --> where l is the length and w is the width We're given l = 2w, so we substitute this into the Area equation: A = (2w)w A = 2w^2...
8. ### A train ticket is 8 centimeters tall and 10 centimeters long. What is its area?

A train ticket is 8 centimeters tall and 10 centimeters long. What is its area? The ticket is a rectangle. The area is: A = lw Plugging in our numbers, we get: A = (8)(10) A = 80
9. ### A cubicle is 6 1⁄2 feet by 8 3⁄4 feet. What is the area of the cubicle?

A cubicle is 6 1⁄2 feet by 8 3⁄4 feet. What is the area of the cubicle? Area of a cube is length times width: A = 8 & 3/4 * 6 & 1/2 We need to convert these to improper fractions. 8 & 3/4 converted to an improper fraction is 35/4 6 & 1/2 converted to an improper fraction is 13/2 Multiply the...
10. ### A pool is 5 meters wide and 21 meter long what is the area of the pool?

A pool is 5 meters wide and 21 meter long what is the area of the pool? A pool is a rectangle. So the area for a rectangle is: A = lw where l is the length and w is the width. Plugging in our width of 5 and length of 21 to our rectangle calculator, we get: A = 105 m^2
11. ### Nine workers are hired to harvest potatoes from a field. Each is given a plot which is 5x5 feet in s

Nine workers are hired to harvest potatoes from a field. Each is given a plot which is 5x5 feet in size. What is the total area of the field? Area of each plot is 5x5 = 25 square feet. Total area = Area per plot * number of plots Total area = 25 sq ft * 9 Total area = 225 sq ft
12. ### A school wants to buy a chalkboard that measures 1 yard by 2 yards. The chalkboard costs \$27.31 per

A school wants to buy a chalkboard that measures 1 yard by 2 yards. The chalkboard costs \$27.31 per square yard. How much will the chalkboard cost? Area of a chalkboard is denoted as : A = lw Given 1 yard width and 2 years length of the chalkboard, we have: A = 2(1) A = 2 square yards...
13. ### 9 workers were hired to harvest potatoes from a field. each is given a plot which is 11*7 feet in si

9 workers were hired to harvest potatoes from a field. each is given a plot which is 11*7 feet in size. what is the total area of the field The area of each plot is 11*7 = 77 With 9 workers, the total area of the field is: 9 * 77 = 693 sq feet
14. ### A square has a perimeter of 24 inches. What is the area of the square?

A square has a perimeter of 24 inches. What is the area of the square? Perimeter of a square = 4s where s = the length of a side. Therefore, we have: 4s = P 4s = 24 Using our equation solver, we type in 4s = 24 and get: s = 6 The problems asks for area of a square. It's given by A = s^2...
15. ### What is the area of a triangular parking lot with a width of 200m and a length of 100m?What is the a

What is the area of a triangular parking lot with a width of 200m and a length of 100m? Area of a Triangle = bh/2 Plugging in our numbers, we get: Area of Parking Lot = 200(100)/2 Area of Parking Lot = 100 * 100 Area of Parking Lot = 10,000 sq meters
16. ### A yard with dimensions of 15m x 10m has a flower garden in the middle. The flower garden has a dimen

A yard with dimensions of 15m x 10m has a flower garden in the middle. The flower garden has a dimensions of 4m x 7m. What Is the area of the yard without the flower garden? Find the area of the yard: AY = l x w AY = 15 x 10 AFY= 150 Find the area of the flower garden: AFG = l x w AFG = 7 x 14...
17. ### Marco orders a large pizza, with a diameter of 14 inches. It is cut into 8 congruent pieces. what is

Marco orders a large pizza, with a diameter of 14 inches. It is cut into 8 congruent pieces. what is the area of one piece? A pizza is a circle. If the diameter of the pizza is 14 inches, the radius is 14/2 = 7 inches. Area of a circle is pi(r^2). With r = 7, we have: A =7^2(pi) A = 49pi Area...
18. ### A flower bed is to be 3 m longer than it is wide. The flower bed will an area of 108 m2 . What will

A flower bed is to be 3 m longer than it is wide. The flower bed will an area of 108 m2 . What will its dimensions be? A flower bed has a rectangle shape, so the area is: A = lw We are given l = w + 3 Plugging in our numbers given to us, we have: 108 = w(w + 3) w^2 + 3w = 108 Subtract 108...
19. ### A playing card is 7 centimeters wide and 10 centimeters tall. What is its area?

A playing card is 7 centimeters wide and 10 centimeters tall. What is its area? A playing card has a rectangle shape, so the area is l x w. A = l x w A = 10 cm x 7 cm A = 70 cm^2
20. ### A kitchen measures 5 yd by 6 yd. How much would it cost to install new linoleum in the kitchen if th

A kitchen measures 5 yd by 6 yd. How much would it cost to install new linoleum in the kitchen if the linoleum costs \$2 per square foot? The kitchen has an area of 5yd x 6yd = 30 sq yards. If the linoleum costs \$2 per square foot, we have 30 sq yards / \$2 per square foot = \$15