Area of a shape + fractions - practice problems
Number of problems found: 276
- A room
A room is 8 2/3 m by 5 1/4 m. What is the area of the room? - 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 playground 2
The dome is built on the playground. The dome covers an area of 1 2/3 square meters, which is 5/840 of the total area of the playground. What is the total area of the playground? - 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. - A sandbox
3/4 a sandbox has an area of 20 square feet. The length is 6 1/2 feet. What is the width of the sandbox? - 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. - 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? - Bradley
Bradley is making a box that has a length of 14 7/8 inches and a width of 5 1/3 inches. How much wood does he need to make the box? - 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? - 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. - Native plants
In a garden, 5/6 of the area is filled with native plants. The native plants take up 107/4 m². Let g represent the total area of the garden. Find g = total area of the garden. - 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? - 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. - 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? - 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. - 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 - 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? - 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. - Daniel
Daniel ate 4/5 of his pizza, and Shawn ate 5/6 of his pizza. Who ate more?
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