Use area to Solve problems practice.
1. Emily wants to tile her rectangular kitchen floor, which measures 10 feet by 12 feet. If each tile is 1 square foot, how many tiles will she need to cover the entire floor?
Solution:
Area of the kitchen floor = length x width
Area = 10 ft x 12 ft = 120 square feet
Number of tiles needed = Area of the floor / Area of each tile
Number of tiles = 120 sq ft / 1 sq ft = 120 tiles
Emily will need 120 tiles to cover her kitchen floor.
2. Alex has a circular swimming pool with a radius of 5 meters. If he wants to put a pool cover over the entire pool, what is the area of the cover he will need to purchase?
Solution:
Area of a circle = π x radius^2
Area = π x 5m x 5m = π x 25 square meters ≈ 78.54 square meters
Alex will need to purchase a pool cover with an area of approximately 78.54 square meters.
3. Sarah's garden is in the shape of a right triangle with legs measuring 6 feet and 8 feet. If she wants to add gravel to the entire garden, how many square feet of gravel will she need?
Solution:
Area of a right triangle = 0.5 x base x height
Area = 0.5 x 6 ft x 8 ft = 24 square feet
Sarah will need 24 square feet of gravel to cover her garden.