Ratio + area of a shape - practice problems - page 4 of 10
Number of problems found: 183
- Proportion 32471
The lengths of the sides of the two squares are in the ratio of 5:7. In what proportion their area will be? - Similarity 30821
There is a given square ABCD with a = 5.3cm. Determine the side size of a similar square if the similarity ratio k = 3cm. Calculate the area and the perimeter of the magnified square - Sphere in cone
A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the ball's surface and the area of the base is 4:3. A plane passing through the axis of a cone cuts the cone in an isosceles triangle - Ratio of squares
A circle is given in which a square is inscribed. The smaller square is inscribed in a circular arc formed by the square's side and the circle's arc. What is the ratio of the areas of the large and small squares?
- Determine 26191
The rectangle has side lengths of a = 40 cm and b = 10 cm. We reduce side a's length by 30% and side b by 10%. Determine how many% less the area of the rectangle has decreased. - The circumference
The circumference and width of the rectangle are in a ratio of 5:1. Its area is 216cm². What is its length? - Cross-section 23491
The cross-section of the railway embankment is an isosceles trapezoid, the bases of which are in a ratio of 5:3. The arms have a 5 m embankment height v = 4.8 m. Calculate the section area S. - Half of halves
Half of the square we cut off, then half of the rest, etc. Five cuts we made in this way. What part of the area of the original square is the area of the cut part? - Calculate 23411
The prism with a diamond base has one base diagonal of 20 cm and a base edge of 26 cm. The edge of the base is 2:3 to the height of the prism. Calculate the volume of the prism.
- Measuring 22473
0.9 kg of paint is needed to paint a fence measuring 1.2 m x 9.6 m. How much paint will be required to paint a fence measuring 1.6m x 18m? - Garden exchange
The garden has a rectangular trapezoid shape, the bases of which have dimensions of 60 m and 30 m and a vertical arm of 40 m. The owner exchanged this garden for a parallelogram, which is 7/9 of the area of a trapezoidal garden. What is the size of the ne - Dimensions 20513
The sides of the rectangle are 6.6 cm and 4.2 cm. We change its dimensions in a ratio of 5:2. How many times does the rectangle's area change compared to the original rectangle? - Interested 18803
On the map, at a scale of 1:400 m and an area of 100 cm². How much are you interested in this land? - Dimensions 18793
The rectangle has 10 and 8 cm dimensions on a 1:10 scale plan. How many times does it have more area than on the plan?
- Squares ratio
The first square has a side length of a = 6 cm. The second square has a circumference of 6 dm. Calculate the proportions of the perimeters and the proportions of these squares. (Write the ratio in the basic form). (Perimeter = 4 * a, area S = a²) - Circuits 17961
The area of one square is 81 cm2, and the area of the other is 225 cm². What is the ratio of their circuits? - Individual 17891
The size of the five gardens is 13:10:9:8:7. Calculate the areas of individual gardens if you know that the middle area is 720 m². - Squares above sides
Two squares are constructed on two sides of the ABC triangle. The square area above the BC side is 25 cm². The height vc to the side AB is 3 cm long. The heel P of height vc divides the AB side in a 2: 1 ratio. The AC side is longer than the BC side. Calc - Football 14841
The tennis court measures 40.20 meters. The football field measures 40.90 meters. How many times is the football field compared to the tennis court?
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