Planimetrics - math word problems - page 45 of 184
Number of problems found: 3673
- The parallelogram
The circumference of the parallelogram is 79.5 m, and its shorter side is half the longer side. What is the length of which side of the parallelogram? - Diameter 5668
The span of the arc is 247 cm, and the height of the arc is 21.5 cm. What is the diameter of the circle? - Circumference 4430
There is an isosceles triangle with a circumference of 36 cm, and the height at the base is 12 cm long. Calculate the length of the arm of a given triangle. - 144 steps
To get around the garden, we have to take 144 steps—eight steps less in width than in length. One step is five decimetres long. What are the dimensions of the garden? What are its perimeter and its area? - Height and base
An isosceles triangle has an area of 168 cm², and its added height and base are 50 cm. What are the measurements of its height and base? - Second side
Calculate the length of the other side of the rectangle if its circumference is 60 cm, and one side is 10 cm long. - Concentric circles
There is given a Circle K with a radius r = 8 cm. How large must a radius have a smaller concentric circle that divides the circle K into two parts with the same area? - Land
A rectangular, triangular piece of land has an area of 30 square meters and a 12 meter-long leg. How many meters of fence do you need to fence this piece of land? - Diamond diagonals
Calculate the diamonds' diagonal lengths if the diamond area is 156 cm square and the side length is 13 cm. - Four circles
1) Calculate the circle radius if its area is 400 cm square 2) Calculate the radius of the circle whose circumference is 400 cm. 3) Calculate circle circumference if its area is 400 cm square 4) Calculate the circle's area if the perimeter is 400 cm. - Rectangular 83244
The rectangular pool has dimensions of 25 meters and 12.5 meters. A 2-meter wide path surrounds the pool. How many square meters of tiles are needed to pave a sidewalk? - Interior 39791
For the interior angles of a triangle, the angle β is twice as large, and the angle γ is three times larger than the angle α. Is this triangle right? - Determine 39503
In a right triangle, one acute angle is 20° smaller than the other. Determine the size of the interior angles in the triangle. - Height
The area of the triangle is 35 cm². The length of the base is 10 cm. Determine the length of the height on the base. - Circumference 24601
The triangle has a circumference of 19.5 cm. From the formula for calculating its circumference, express successively unknown a, b, c. Then over by substituting: a = 8 cm; b = 6.5 cm; c = 5 cm. (always count the expressed side) - Height to the base
The triangle area is 35 cm². The size of the base is 10 cm. Find the length of height to the base. - Circle's chords
The circle has two chord lengths, 30 and 34 cm. The shorter one is from the center twice as a longer chord. Determine the radius of the circle. - Angles in a triangle
In a triangle, the first angle measures a number plus 45°, and the second angle is 30° less than the first angle. The third angle is two times the number more than the first angle. What are the measurements of each angle of the triangle? - Rectangle field
The field has the shape of a rectangle, having a length of 119 m and a width of 19 m. How many meters have to be shortened in length and increased in width to maintain its area and circumference by 24 m? - KLMN trapezoid
The KLMN trapezoid has bases KL 40cm and MN 16cm. On the KL base is point P. The segment NP divides the trapezoid into units with the same area. What is the distance of point P from point K?
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