Area + ratio - practice problems
Number of problems found: 251
- The length 20
The length and breadth of a rectangular park are in the ratio 8:5. A path,1.5 m wide, running all around the outside of the park has an area of 594 sq m. Find the dimensions of the park. - Spheres - ratios
The surface area of two spheres are in the ratio 1 : 4 . Find the ratio of their volumes. - Incircle to circumcircle
Find the ratio of the areas of the incircle and the circumcircle of a square. - A cube 4
A cube of edge 5 cm is cut into cubes, each of edge 1 cm. Find the ratio of the total surface area of one of the small cubes to that of the large cube.
- Three ratios 2
What is the ratio of bases of two triangles when the ratio of their heights is 3:4 and the ratio of their areas is 4:3? - 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? - Double sides
If each side of a triangle is doubled, then find the ratio of the area of the new triangle thus formed to the given triangle. - 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 minute
The minute hand of a clock is 6 cm long. Find the area it sweeps between 2:05 PM and 2:40 PM.
- Apothem
Find the ratio between the two perimeters, the two areas, and two corresponding apothems of two regular hexagons whose sides are 2-3/4 inches and 4-1/8 inches. - Two similar 2
Two similar polygons have corresponding sides 15 inches and 6 inches. If the area of the first is 2700 square inches, what is the area of the second? - 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 - Share 5
Share 30 oranges between Shola and Ade in the ratio 2:3. Find Shola's share and Ade's share. - Ruel cut
Ruel cut the grass on 1/5 of a hectare in an hour. How long will it take him to cut the grass on 3/4 of a hectare?
- The ratio 10 The ratio of length and breadth of a rectangular park is 3:2, and its perimeter is 150m. Find its area.
- Circumference 83645
The area of a right triangle is 240 cm². Determine its circumference if the given lengths are suspended in a ratio of 5:12. - Calculation 83339
The edges of a cuboid are in the ratio 1:2:3. Calculate their length if you know that the surface of the entire cuboid is S=5632 m². Then, perform a test to ensure the calculation is correct. - Quadrilateral pyramid
The volume of a regular quadrilateral pyramid is 72 cm³. Its height is equal to the length of the base edge. Calculate the length of the base and the surface of the pyramid. - Calculate 83261
Calculate the area of the triangle ABC, in which you know the side c=5 cm, the angle at the top A= 70 degrees, and the ratio of the segments cut by the height to the side c is 1:3
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