Area + numbers - practice problems
Number of problems found: 479
- A park on map
A park has an area of ⅙ mi². On a map, the park has an area of 1 ¼ cm². On the map, how many square centimeters represent 1 mi²? - A room
A room is 8 2/3 m by 5 1/4 m. What is the area of the room? - Height of the box
The box needs to have a volume of 108 ¾ cubic inches. If its width is 7 ¼ inches and its depth is 1 ¼ inches, what must its height be? - George
George decided to use blue paint to paint a wall with two windows. The wall is 12 7/8 ft by 8 ft. Both windows are 3 1/2 ft by 4 1/2 ft rectangles. Find the area the paint needs to cover.
- A model
A model of a house is built on a base that measures 7 3/4 inches wide and 9 1/5 inches long. What is the area of the model house based? - A rectangle 13
A rectangle has an area of 15 square inches. What is the missing side length if one side length is 1 2/3 inches wide? - ET inscribed circle
An equilateral triangle has been inscribed in a circle with a radius of 4 cm . Find the area of the shaded region. - The triangle 6
The triangle has an area of 7 ⅞ cm² and a base of 5 ¼ cm. What is the length of h? Explain your reasoning. - A concert venue
The floor of a concert venue is 100 3/4 feet by 75 1/2 feet. What is the area of the floor?
- A farmer 9
A farmer has 3 hectares of an orchard. ½ of the land is occupied by apples, ⅙ of the remainder is occupied by lemon trees, and tree tomatoes occupy the rest of it. Find the fraction of the land occupied by tree tomatoes. - The land 3
A farmer uses 1/3 of his land to grow cassava, 2/5 to grow maize, and the rest for vegetables. If the area used to grow vegetables is 10 acres, what is the total area of the land? - The bedroom
The area of the rectangular bedroom is 136 5/8 square feet. If its width is 12 3/4 feet, find its length in simplest form. - Nisha
Nisha likes to make small rectangular paintings of cats. One of her paintings has an area of 33cm squared and a width of 7 1/2 centimeters. What is the height of this painting? - Panting
If the base of the triangle is 2 3/4 meters & and the altitude is 3 2/3 meters, then what is the cost of panting on both sides at ₹3 1/2 per sq.m.?
- Linda
Linda gave her sister 2/5 of her money, spent 1/3, and saved the remainder. If Linda saved $28.00, how much money did she have at first? - A man 16
A man sold half of his land. He gave 1/3 of the remaining to his son and 1/4 of the balance to his daughter. What fraction of his land is now left with him? - A frustum
A frustum of a pyramid consists of a square base of length 10 cm and a top square of length 7 cm. The height of the frustum is 6 cm. Calculate the surface area and volume. - The volume 9
The volume of a large tank is 210 yd³. its 2 2/5 yd wide and 2 4/5 yd high. What is the length of the tank? - An electorate
In an electorate, 3/4 th of the voters are Tamils. Of the remaining 2/3 rd are Muslims, and the others are Sinhalese. If the number of Sinhalese in that electorate is 587, find the number of voters in that electorate.
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