Planimetrics - math word problems - page 38 of 169
Study plane measurements, including angles, distances, and areas. In other words - measurement and calculation of shapes in the plane. Perimeter and area of plane shapes.Number of problems found: 3362
- Rectangle diagonal
The rectangle, one side of which is 5 cm long, is divided by a 13 cm diagonal into two triangles. Calculate the area of one of these triangles in cm². - Bamboo
At a certain height, the wind broke the bamboo high 32 feet, so the bamboo top reached the ground at a distance of 16 feet from the trunk. At what height from the ground was the bamboo broken? - Bike wheel
The bike wheel has a radius of 30cm. How often does it turn if we go on a 471m bike? - Inscribed circle
XYZ is a right triangle with a right angle at the vertex X with an inscribed circle with a radius of 5 cm. Find the area of the triangle XYZ if XZ = 14 cm. - Rectangle 82740
A square in a grid contains 36 squares. This is one-fifth of the number of squares of a rectangle whose side is 30 squares long. What is the length of the other side of the rectangle? Thank you - Circumference 22243
The circumference of the first wheel is 0.5 m larger than the circumference of the second wheel. The first wheel turns on the 36 m track as many times as the second on the 30 m track. Determine the rims of both wheels. - Trapezoid
trapezoid ABCD a = 35 m, b=28 m c = 11 m and d = 14 m. How to calculate its area? - Circumference 65674
The circumference of the triangle is 125 cm. The shortest side is 12 cm shorter than the longest side. The longest side is 7 cm longer than the middle side. How long is the middle side? - Circumference 43531
A triangle with a circumference of 69 cm has one side three times shorter than the longest of them and the other 3 cm shorter than the longest of them. Find the area of the triangle. - Circular 31441
The circular park has an area of 1600 m². Cross the park, right in its center, leads the trail. What is the length of the trail? - Rectangular 26641
The area of the work surface of the rectangular table is 70 dm2, and its perimeter is 34 dm. Determine (in dm) the length of the shorter side of this table. - Circumference 21603
The circumference of the diamond is 29.6dm. a - calculate the length of its side b - calculate the area of the diamond if its height measures 5 dm - Corresponding 21143
Calculate the height corresponding to the side of the parallelogram ABCD, if the side is 7.4 cm long and the area of the parallelogram is 33.3 cm2 - Concentric 6751
A circle K with radius r = 8 cm is given. How big a radius must a smaller concentric circle divides a circle K into two parts with the same area? - Circumference 6525
The circumference of the triangle is 104 cm. One side is 6 cm longer and 8 cm shorter than the third. Find the lengths of its sides. - Circumference 4285
Calculate the circumference of a rhombus, one side of which is 6 cm long, and the height of this side is 2 cm long. The height on the other side is 4 cm long. - One side 3
One side of a triangular banner is 1 1/2 times longer than the second side and 2cm shorter than the third side. The perimeter of the triangle is 98cm. How long is the shortest side? - A triangle 4
A triangle has a perimeter of 18a + 6b + 15 and has sides of lengths 5a + 7 and 8a +4b. What is the length of the third side? Write an expression and simplify it to find the solution to the problem. - A trapezoid 3
A trapezoid ABCD has the bases length of a = 120 mm, c = 86 mm and the area A = 2,575 mm². Find the height of the trapezoid. - Diagonals of rhombus
Find the length of the diagonal AC of the rhombus ABCD if its perimeter P = 112 dm and the second diagonal BD has a length of 36 dm.
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