Area + fractions - practice problems
Number of problems found: 342
- 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 the width of the box is going to be 7 ¼ inches, and depth of the box is going to be 1 ¼ inches, what must the height of the box 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 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. - 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? - 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. - 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. - Sonya
Sonya, Jill, and Donna run each Monday. Jill ran 6/12 of an hour, and Donna ran 5/12 of an hour. If the girls ran a total of one whole hour, what fraction of an hour did Sonya run? - Anneta
Anneta wants to buy a piece of land for farming; she wants to use 1/3 of the land to plant cocoa, 2/7 for a Palm plantation, and the rest for a vegetable plantation. 1). Find the fractions of the land used for vegetable plantation 2). If one wants to use - A bakery
A bakery makes cylindrical mini muffins that measure 2 inches in diameter and one and one-fourth inches in height. If each mini muffin is completely wrapped in paper, then at least how much paper is needed to wrap 6 mini muffins? Approximate using pi equa - Mrs. Dinah
Mrs. Dinah Tah Tanda divided her lot among her 4 children. The first got 3 1/2 ha, the second 3 1/3 ha, the third 3 1/4 ha, and the fourth 3 2/5 ha. How big is Mrs. Tanda's lot? - A goat 2
As shown, a goat is tied at one corner of a rectangular shed by a 5-meter-long rope. The shed measures 3 m by 2 m and is surrounded by grassland. What is the area of the grassland in which the goat can graze? Give your answer to the nearest m². - Rectangle 83
Rectangle land has a dimension of 8 km times 10 9/10 km. What is the area? Write your answer as a fraction or as a whole or mixed number.
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