Ratio + planimetrics - practice problems
Number of problems found: 368
- Double sides
If each side of a triangle is doubled, then find the ratio of the area of the new triangle thus formed to the given triangle. - 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? - Regular polygons
The number of sides of two regular polygons differ by 1. The sum of the interior angles of the polygons is in the ratio of 3:2. Calculate the number of sides of each polygon. - Apothem
Find the ratio between the two perimeters, the two areas, and two corresponding apothems of two regular hexagons whose sides are 2-3/4 inches and 4-1/8 inches.
- 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? - The angles 4
The angles of a triangle are divided into the ratio 126: 213: 312. If the three angles sum to 180°, find the size of each of the three angles. - Share 5
Share 30 oranges between Shola and Ade in the ratio 2:3. Find Shola's share and Ade's share. - A blanket
A blanket is 60 inches by 72 inches. If you want to make it 1/3 smaller, what size would it be? - The ratio 10
The ratio of length and breadth of a rectangular park is 3:2, and its perimeter is 150m. Find its area.
- 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 - Sides ratio and angles
In triangle ABC, you know the ratio of side lengths a:b:c=3:4:6. Calculate the angle sizes of triangle ABC. - Revolutions 83126
The tractor's rear wheel has a diameter of 1.6 m, and the front wheel is 96 cm. What ratio are the numbers of their revolutions? How many times does the front wheel turn, and how many times does the rear wheel turn on a track 1942 m long? - 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? - Rectangular 82520
The sides of the rectangular forest plot are in the ratio 11:7. The shorter side of the plot is 175 meters long. Calculate the longer side of the rectangular plot. How many steps would we take if we went around the whole lot? The length of 1 step is 60 cm - Describes 82518
The minute hand describes an angle of 180 degrees in half an hour. In how many minutes does the minute hand cover an angle of 192 degrees? - 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.
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