Ratio + area - practice problems - page 9 of 13
Number of problems found: 241
- Magic belt
The magic rectangular belt has the property that whenever its owner wants something, the length of the belt is reduced to 1/2 and the width to 1/3. After three such wishes, the belt had an area of 4 cm². What was its original length if the original width - Map scale
On a 1:1000 scale map is a rectangular land of 4.2 cm and 5.8 cm. What is the area of this land in square meters? - Center of gravity
In the isosceles triangle ABC is the ratio of the lengths of AB and the height to AB 10:12. The arm has a length of 26 cm. If the center of gravity is T, find the area of the triangle ABT. - Rectangular 4780
The plan of the television studio is made on a scale of 1:150. The plan has a rectangular studio measuring 5 cm and 6 cm. How many crowns will we pay to cover the studio with a floating floor if we pay 356 crowns for 1 m² of floating floor?
- Circular 4690
The cone shell with a base radius of 20 cm and a height of 50 cm unfolds into a circular cutout. How big is the center angle of this cutout? - Trapezoid - central median
The central median divides the trapezoid into two smaller trapezoids. Find the ratio of its areas. - Rectangular 4624
The lengths of the sides of the rectangular garden are in the ratio of 1:2. The junction of the centers of adjacent sides is 20 m long. Calculate the perimeter and acreage of the land. - Rectangle 3-4-5
The sides of the rectangle are in a ratio of 3:4. The length of its diagonal is 20 cm. Calculate the area of the rectangle. - Rhombus and diagonals
The rhombus area is 150 cm2, and the ratio of the diagonals is 3:4. Calculate the length of its height.
- Cube
One cube has an edge increased five times. How many times will larger its surface area and volume? - Equilateral 4301
Triangle ABC is equilateral with a side length of 8 cm. Points D, E, and F are the sides AB, BC, and AC midpoints. Calculate the area of triangle DEF. In what ratio is the area of triangle ABC to the area of triangle DEF? - Cuboid - ratios
The sizes of the edges of the cuboid are in the ratio of 2:3:5. The smallest wall has an area of 54 cm². Calculate the surface area and volume of this cuboid. - Centimeters 4170
In triangle ABC, we connected the centers of the sides, and we got a smaller triangle with an area of 14 cm². What is the area of triangle ABC in square centimeters? - Percentage 4138
What percentage does the white color on the Czech flag occupy?
- Prism bases
Volume perpendicular quadrilateral prism is 360 cm³. The edges of the base and height of the prism are in the ratio 5:4:2. Find the area of the base and walls of the prism. - Surfaces 3793
The volumes of the two cubes are in the ratio of 27:8. What is the ratio of the surfaces of these cubes? - Sides ratio
Calculate the circumference of a triangle with area 84 cm² if a:b:c = 10:17:21 - The rectangle
The length and width of a rectangle are in the ratio of 5:2. Its length is 7.5 cm longer than its width. Find the area of the rectangle. Determine also its length and its width. - Circumference 3589
Calculate the circle's radius if the circumference and area are in a 2:5 ratio.
Do you have homework that you need help solving? Ask a question, and we will try to solve it.