Area + functions - practice problems - page 15 of 31
Number of problems found: 615
- Flowerbed
We enlarged the circular flower bed, so its radius increased by 3 m. The substrate consumption per enlarged flower bed was (at the same layer height as before magnification) nine times greater than before. Determine the original flowerbed radius. - Square side
If we enlarge the square side a = 5m, its area will increase by 10,25%. How much percent will the side of the square increase? How many percent will it increase the circumference of the square? - Rectangle 12081
On a plan with a scale of 1:8000, the ski slope has 12 cm and 0.5 cm lengths. What is the actual piste area in ares? - Folding table
The folding kitchen table is rectangular with an area of 168dm² (side and is 14 dm long). If necessary, it can be enlarged by sliding two semi-circular plates (at sides b). How much percent will the table area increase? The result round to one-hundredths.
- Gutter pipe
How many m² of sheet metal is required to produce a 12 m long and 18 cm wide gutter if a 7% bend is required? - Water in vegetables
Tomatoes in the store contain 99% water. After being transported to the shop, they were slightly dried and contained only 98% of water. How many kgs of tomatoes are in the store if there were 300 kg in stock?` - Determine: 10182
The lengths of the edges of two cubes are in the ratio 1:2, determine: a) the ratio of the content of the wall of the smaller cube to the content of the wall of the larger cube. b) the ratio of the surface of the smaller cube to the surface of the larger - Proportion 9931
The area of Asia and Africa is 3:2, and the area of Europe and Africa is 3:7. In what proportion are the sizes of Asia, Africa, and Europe? - Right circular cone
The volume of a right circular cone is 5 liters. The cone is divided by a plane parallel to the base, one-third down from the vertex to the base. Calculate the volume of these two parts of the cone.
- Calculate 9701
In the triangle, the side length AB = 6 cm, the height per side c = 5 cm, and the angle BCA = 35°. Calculate sides a b. - Two rectangles 2
A square area of 36 cm² is cut out to make two rectangles - A and B. The area's ratio A to B is 2:1. Find the dimensions of rectangles A and B. - Identical 8831
In the triangle ABC, the point P lies closer to point A in the third of the line AB, the point R is closer to the point P in the third of the line P, and the point Q lies on the line BC so that the angles P CB and RQB are identical. Determine the ratio of - 5000 8761
The garden has an area of 5000 m². What is its image area on a 1:1000 scale on the plan? - Seat
How much m² of fabric do we need to sew a 50cm-shaped cube-shaped seat if we add 10% of the material to the folds?
- The roof
The roof has a spherical canopy with a base diameter of 8 m and a height of 2 m. Calculate the foil area with which the roof is covered when calculating 13% for waste and residues. - Hexagon
Divide a regular hexagon into lines into nine completely identical parts; none of them must be in a mirror image (you can only rotate individual parts arbitrarily). - Ratio of volumes
If the heights of two cylindrical drums are in the ratio 7:8 and their base radii are in the ratio 4:3. What is the ratio of their volumes? - Ratio of sides
Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in a ratio of 2 to 7. - Circumferential 8399
A circle with a radius r=8 cm is divided by points K and L in a ratio of 5 to 4. Calculate the sizes of the center and circumferential angles, corresponding to both arcs and the area of the larger segment.
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