Planimetrics - math word problems - page 125 of 185
Number of problems found: 3687
- Rectangle perimeter area
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. - Triangle line
In the triangle ABC, the line tb = | is given BB1 | Calculate the length of this line if B1T | = 3cm. - Rectangle area comparison
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? - The perimeter 3
The perimeter of a rectangle is 35 cm. The length ratio to its width is 3:2. Calculate the rectangle's dimensions. - Garden fencing
The rectangular flower garden fencing is 57.6 m long. If you know its dimensions are in a 5:7 ratio, find them. - Angles in ratio
The size of the angles of the triangle is in ratio x: y = 7:5, and the angle z is 42° lower than the angle y. Find the size of the angles x, y, and z. - Center traverse
Does the middle traverse indeed bisect the triangle? - 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 than the first? - Revolutions - wheels
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? - Perpendicular parking
Which parking lot for 5 cars occupies a larger area, perpendicular or inclined at an angle of 45°, and how much? The car has dimensions of 4m and 2m. - Rectangle diagonals
It is given a rectangle with an area of 24 cm² and a circumference of 20 cm. The length of one side is 2 cm larger than the length of the second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers. - Circle line intersection
Calculate the sum of the x-coordinates of the intersections of the circle given by the equation (x - 1)²+ y² = 1 and the line given parametrically x = t, y = t , where t∈R. - Equal distance
Find the equation for all the points (x, y) that are equal in distance from points A(5,-2) and B(-2,10). - Circle
Write the equation of a circle that passes through the point [0,6] and touches the X-axis point [5,0]: (x-x_S)²+(y-y_S)²=r² - The swimmer
The swimmer swims at a constant speed of 0.85 m/s relative to water flow. The current speed in the river is 0.40 m/s, and the river width is 90 m. a) What is the resulting speed of the swimmer for the tree on the riverbank when the swimmer's motion is per - Rectangle perimeter ratio The sides of the rectangle are in the ratio of 5 : 8. Its perimeter measures 208 cm. Determine the area of this rectangle.
- Circle segment
A quarter circle with a radius of 4 has the same area as a circle segment with a radius of 3. What is the magnitude of the center angle of the circle segment? - Rectangle ratio dimensions
The circumference of the rectangle is 40cm. Find the rectangle size if you know the sides are in a 4:1 ratio. - Rectangles
How many different rectangles can be made from 60 square tiles of 1 m square? Find the dimensions of these rectangles. - Circle waste
Calculate the percentage of waste when we cut out 4 of the largest possible circles from a square sheet with sides of 1 meter.
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