Ratio + area of a shape - practice problems
Number of problems found: 183
- 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? - 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? - Share 5
Share 30 oranges between Shola and Ade in the ratio 2:3. Find Shola's share and Ade's share. - The ratio 10
The ratio of length and breadth of a rectangular park is 3:2, and its perimeter is 150m. Find its area.
- Quadrilateral 83324
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 - Dimensions 83092
On the 1:75 scale plan, the building plot is a rectangle with 60 cm and 50 cm dimensions. If 1 m² of land costs 80 euros, what is the price of the land? - Centimeters 82996
The volume of the trapezoid is 132 cm². The difference in the length of both bases is 6 cm, and the height is 2 cm longer than the shorter base. Determine the height of the trapezoid in centimeters. - Coordinate 82855
What is the ratio of the distance of the nearest and farthest point of the circle described by the equation x2+y2-16x-12y+75=0 from the origin of the coordinate system?
- Dimensions 82501
The table has the shape of a rectangle with dimensions of 80 × 100 cm. Ten identical sheets of paper measuring 20 x 30 cm lie next to each other on it. Papers do not overlap or extend beyond the surface of the table. What part of the table surface is cove - Rectangle 82456
The sides of the rectangle are in the ratio 5 : 8. Its perimeter measures 208 cm. Determine the content of this rectangle. - Dimensions 82414
The flag of Brazil has a yellow diamond on a green field with a blue circle inside. If we had a flag with dimensions of 70 cm x 50 cm, the rhombus would have a side 35 cm long and a height of 30 cm. Indicate with fractions in basic form what part of the f - Snowman's 82155
Under the column, the children built a 1.65m tall snowman. The snowman's shadow is 135 cm long. The shadow of the column has a length of 4.05 m. How tall is the pole? - Calculate 81939
The block surface is 5,632 m². The lengths of the edges are in the ratio 1: 2 : 3. Calculate the volume of the cuboid.
- Calculate 81936
The volume of the block is 7,500 dm³. The lengths of the edges are in the ratio 3: 4: 5. Calculate the surface area of the cuboid. - Calculate 81935
The volume of the cuboid is 960 cm³. The lengths of the edges are in the ratio 1 : 3: 5. Calculate the surface area of the cuboid. - Descending 81797
The sum of the first two terms of the descending geometric sequence is five quarters, and the sum of the infinite geometric series formed from it is nine quarters. Write the first three terms of the geometric sequence. - Rectangle's 81596
The rectangle has a perimeter of 30 cm. The ratio of its sides a: b=2:3. Calculate the sides' lengths and the rectangle's area. - Square-shaped 81445
The area of the square-shaped room on the drawing with a scale of 1:150 is 6 cm square. Determine the actual area of the room in square meters.
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