Ratio + area - practice problems - page 7 of 12
Number of problems found: 237
- Rectangular plot
The dimensions of a rectangular plot are (x+1)m and (2x-y)m. If the sum of x and y is 3m and the plot's perimeter is 36m. Find the area of the diagonal of the plot. - Rectangular field
A rectangular field has a diagonal length of 169m. If the length and width are in the ratio of 12:5. Find the dimensions of the field, the perimeter of the field, and the area of the field. - Rectangle 7768
The base of a cuboid is a rectangle. The ratio of its length to width is 3:2. The length of the rectangle of the base is in the ratio of 4:5 to the height of the block. The sum of the lengths of all the edges of the block is 2.8m. Find: a) the surface of - Three segments
The circle is divided into three segments. Segment A occupies 1/4 of the area. Segment B occupies 1/3 of the area. What part is occupied by section C? In what proportion are areas A: B: C?
- Proportion 7716
The area of Asia and Africa is 8:7, and the area of Europe and Africa is 5:6. In what proportion are the sizes of regions of Asia, Africa, and Europe? - Cube cut
The edge of the CC' guides the ABCDA'B'C'D'cube, a plane that divides the cube into two perpendicular four-sided and triangular prisms, whose volumes are 3:2. Determine which ratio the edge AB divides by this plane. - Determine 7488
The lengths of the edges of the two cubes are in the ratio 2:3. Determine how many times the surface of the larger cube is larger than the surface of the smaller cube. - Rectangular garden
The sides of the rectangular garden are in a ratio of 1:2. The diagonal has a length of 20 meters. Calculate the area and perimeter of the garden. - Land area 2
A land area was divided among the three heirs in the ratio of 5:2:4. If the largest share was 20 hectares of land, what is the total land area? Please show your solution and what kind of proportion it is.
- Square to rectangle
A square has a side, and a rectangle has a width of 2 x and a length of 3. What is the ratio of the area between a square and a rectangle? - The perimeter
The perimeter of equilateral △PQR is 12. The perimeter of the regular hexagon STUVWX is also 12. What is the ratio of the area of △PQR to STUVWX? - Equilateral cylinder
A sphere is inserted into the rotating equilateral cylinder (touching the bases and the shell). Prove that the cylinder has both a volume and a surface half larger than an inscribed sphere. - Cylinder melted into cuboid
A circular cylinder has an area of cross-section 56cm², and the height is 10cm. The cylinder is melted into a cuboid with a base area of 16cm². What is the height of the cuboid? - Scale of plan
On the village plan on the scale of 1:1000, a rectangular garden is drawn. Its dimensions on the plan are 25mm and 28mm. Determine the area of the garden in ares.
- Enlarged rectangle
The rectangle has dimensions of 8 cm and 12 cm. We enlarge it in a ratio of 5:4. What are the circumference and the area of the enlarged rectangle? - Two gardeners
The garden with an area of 81 square meters was divided by two gardeners in a ratio of 4:5. How much did the second gardener get more first? - Ratio of sides 2
The ratio of the side lengths of one square to another is 1:2. Find the ratio of the area of the two squares. - Rectangular 6397
Calculate the area of Mr. Vejvoda's rectangular garden rounded to whole hectares if you know that garden fencing, including gates and doors, is 420 m long and its dimensions are in the ratio of 9:5 - Two brothers
The two brothers were to be divided according to the will of land at an area of 1ha 86a 30m² in a ratio of 5:4. How many will everyone get?
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