Area + fractions - practice problems
Number of problems found: 218
- Mowing lawn
Tara is mowing her lawn. She mows 3/5 of her 925-square-meter lawn before stopping to chat with a neighbor. How many square meters does Tara have left to mow after chatting with her neighbor?
- Land cost 2
If a 13/18 plot of land is worth 65000 EUR, what is the value of 3/5?
- Two syrups
There are two pots of mixture of syrup and water having ratios 3:2 & 4:5 respectively. What quantity of solution of 1st pot is to be mixed with 3 litre of 2nd pot to get a new mixture where both syrup and water will be same?
- Square yards
What is 4 1/3 yards times 5 2/3 yards?
- 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 rectangle 13
A rectangle has an area of 15 square inches. What is the unknown 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?
- 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
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