Planimetrics - math word problems - page 116 of 185
Number of problems found: 3685
- A map
A map of size 60cm by 25cm is reduced in the ratio of 3:5 twice. What are the new dimensions? - Calculate 3167
The area of the two circles is in a 4:9 ratio. The larger circle has a diameter of 12 cm. Calculate the radius of the smaller circle. - Masons
One mason casts 30.8 meters square in 8 hours. How long casts four masons 178 meters square? - Horizontal distance
The road has a gradient of 8%. How many meters will it rise over a horizontal distance of 400m? - Thomas
Thomas lives 400 meters away from Samko, Robo from Thomas also 400 m, and Samko from Robo 500. Anton lives 300 meters away from Robo, further than Samko. How far away lives Anton from Rob? - Triangle - ratio
Change the triangle in a ratio of 3:4 The length of the sides of a triangle: a = 7 cm b = 6 cm c = 5 cm - Ratio - rectangle
The rectangle has dimensions of 6 cm and 9 cm. When its dimensions increase in the ratio of 5:3, how many times does the area and perimeter increase? - Percentage of waste
In a square plate with a side 58 cm, we cut four same circles. Calculate the percentage of waste. - Velocipede
The front wheel of the velocipede from the year 1880 had a diameter of 1.8 m. Suppose the front wheel is turned again once, then the rear wheel six times. What was the diameter of the rear wheel? - Square - increase sides
If we increase the length of one pair of opposite sides of the square by 2 cm and the length of the other two sides by 1 cm, we will create a rectangle, the perimeter of which will be 10% larger than the perimeter of the original square. What is the side - The carpet
How many meters of carpet 90 cm wide need to cover the floor room, which has a rectangular shape with lengths of 4.8 m and 2.4 m, if the number of pieces on the carpet is needed to be lowest? - Square side
Calculate the length of the side square ABCD with vertex A[0, 0] if diagonal BD lies on line p: -4x -5 =0. - Kite
John a kite, which is diamond-shaped. Its diagonals are 60 cm long and 90 cm long. Calculate: a) the diamond side b) how much paper does John need to make a kite if he needs paper on both sides and needs 5% of the paper for bending? - Circles
Three circles of radius 30 cm, 28 cm, and 37 cm are mutually tangent. What is the triangle perimeter whose vertices are the circles' centers? - 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. - The sides
The sides of the rectangle are in a ratio of 3:5, and its circumference measures 72 cm. Calculate: a) the size of both sides of the rectangle b) the area of the rectangle c) the length of the diagonals - Plot
The length of the rectangle is 8, smaller than three times the width. If we increase the width by 5% of the length and the length is reduced by 14% of the width, the circumference of the rectangle will be increased by 30 m. What are the dimensions of the - Trapezoid thirds
The ABCD trapezoid has parallel sides AB and CD. The E point lies on the AB side. The segment DE divides the trapezoid into two parts with the same area. Find the length of the AE line segment. - Altitude difference
What is a climb permillage of the hill that is 4 km long and has an altitude difference of 6 meters? - 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?
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