Planimetry - math word problems - page 91 of 187
Number of problems found: 3739
- Triangle middle crossbar
Calculate the length of the middle crossbars in an isosceles triangle if the length of the arm is 52 mm and the base height is 48 mm - Quadrilateral circle radius
Given is a quadrilateral ABCD inscribed in a circle, with the diagonal AC being the circle's diameter. The distance between point B and the diameter is 15 cm, and between point D and the diameter is 18 cm. Calculate the radius of the circle and the perime - Two gardens
The flower garden has a square shape. The new garden has a rectangular shape; one dimension is 8 m smaller, and the other is twice as large as in a square garden. What were the original and new garden dimensions if both gardens' areas were the same? - Trapezoid area calculation
The LICH isosceles trapezoid has 5.2 cm long arms and its bases are 7.6 cm and 3.6 cm long. Find the area of the LICH trapezoid. - Trip with compass
During the trip, Peter went 5 km straight north from the cottage, then 12 km west, and finally returned straight to the cottage. How many kilometers did Peter cover during the whole trip? - Concentric circles and chord
In a circle with a diameter d = 10 cm, a chord with a length of 6 cm is constructed. What radius has the concentric circle while touching this chord? - Square painting puzzle
The abcd square is composed of 36 small squares. Six of them are painted. How many small squares do we still need to color so that a quarter of the area of the abcd square remains unpainted? - Long rope
A 60-meter-long rope anchors the column at 3/4 of its height. The rope is anchored in the ground at a distance of 15 meters from the base of the column. Calculate the height of the column (in tenths). - Shrek Fiona height
Shrek and Fiona have a total of 360 cm. Shrek is 24 cm taller than Fiona. How many cm does Shrek, and how many does Fiona measure? - Triangle perimeter
An isosceles triangle with a base length of 32 cm has an area of 480 cm². What's his perimeter? - The pole
A 4 m wire brace supports a telegraph pole. It is attached at 3/4 of the pole's height, and its lower end is 2.5 m from the base of the pole. Calculate the height of the telegraph pole. - Trapezoid 15
The area of a trapezoid is 266. What is the value of x if the bases are b₁ = 2x − 3 and b₂ = 2x + 1, and the height is h = x + 4? - Land exchange
Mr. Sova had a plot of land with an area of 3600 m². However, he exchanged it for another square plot, which was 5 m larger. How many m² does the larger land now have? - Wheel diameter
What is the diameter of the wheel when it turns 455 times per 1 km? They rounded to the nearest cm. - Circle length
The 16 cm long string is 6 cm from the circle's center. Calculate the length of the circle. - Sides of the triangle
Calculate triangle sides where its area is S = 84 cm² and a = x, b = x + 1, xc = x + 2 - Triangle circle radius Given is an isosceles triangle whose base is 8 cm, and the sides are 15 cm long. Calculate the area of the triangle and the radius of the inscribed and circumscribed circle.
- Triangle height line
In the right triangle KLM, the hypotenuse l = 9 cm and the perpendicular k = 6 cm. Calculate the size of the height vl and the line tk. - Hexagon circle radius
A regular hexagon is described and inscribed in a circle. The difference between its areas is 8√3. Find the circle's radius. - Lamps on playground
The playground has the shape of a rectangle of 36 x 50 m. After how many meters can place the lamps on its lighting, if the distances between them are to be the same on both sides if the builders want to use the smallest possible number of lamps?
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