Planimetry - math word problems - page 17 of 72
Number of problems found: 1438
- Gale and spruce
A mighty gale broke the top of the fifteen-year spruce, resting it on the ground. The distance of this top from the trunk was 4.6 m below. At what height was the spruce trunk broken? - Perpendicular legs PT
In a right triangle, one leg is 5 cm longer than the other leg. The hypotenuse is 150 mm. Calculate the lengths of the legs. - Flower bed mesh
A rectangular flower bed, one side formed by a wall, must be fenced off with 8-meter-long mesh. What should the flower bed length be so the area is as large as possible? - Increased sides
If side b of the rectangle increases by 1 cm and the other side decreases by 4 cm at the same time, the area of the rectangle decreases by 48 cm². If side b increases by 2 cm and side a decreases by 1 cm at the same time, the area of the rectangle increas - 11990 perimeter RT
A right triangle has integer side lengths and a perimeter of 11990. In addition, we know that one of its perpendiculars has a prime number length. Find its length. - 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? - Plot rectangle mesh
How many different plots of land in the shape of a rectangle with length and sides in whole meters can we fence if we have 49 m of mesh available? - Rafael
Rafael has three squares. The first square has a side length of 2 cm. The second square has a side length of 4 cm, and its vertex is placed in the center of the first square. The last square has a side length of 6 cm, and its vertex is placed in the cente - Square triangle area
The area of the ABCD square in the picture is 36 cm². Points E and F are the centers of the square BC and CD sides. What is the area of the triangle AEF in cm²? - Circular segment
What is the radius of a circular section whose central angle is 36° and the area of S = 53.095 cm²? - The diagonals
The diagonals of the KOSA diamond are 20 cm and 48 cm long. Calculate the circumference of the diamond in centimeters rounded to one unit. - Diamond diagonal area
The KLMN diamond has a circumference of 32 cm, and the intersection of its diagonals is 3 cm away from the LM side. What is the area of the diamond? - Outside point
The square ABCD and the point E lying outside the given square are given. What is the area of the square when the distance | AE | = 2, | DE | = 5 a | BE | = 4? - Arm and base
The isosceles triangle has a circumference of 46 cm. If the arm is 5 cm longer than the base, calculate its area. - Rectangles - integers
How many different rectangles with integer side lengths have an area S = 60 cm²? - Determine the area
Determine the area of trapezoid ABCD, given that AB = 6 cm, the area of triangle ABC = 15 cm², the area of triangle BCD = 20 cm², and AB ∥ CD. - The ABCD
The ABCD trapezoid has a base length of a = 120 mm, c = 86 mm, and an area of S = 2575 mm². Calculate the height of the trapezoid. - Dimensions - rectangle
One side of the rectangle is 12 cm longer than the other. If we reduce each dimension by a third, the area of the rectangle will be reduced by 60 cm². Determine the dimensions of the rectangle. - Fencing
Ruby is purchasing fencing to go around a rectangular lot which is 4x + 9 feet long and 3x - 5 feet wide. Which expression represents the amount of fencing she must buy? - 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.
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