Area of shape + Pythagorean theorem - math problems
Number of problems found: 224
- Area of a rectangle
Calculate a rectangle area with a diagonal of u = 12.5cm and a width of b = 3.5cm. Use the Pythagorean theorem.
- Square
Calculate the area of the square shape of the isosceles triangle with the arms 50m and the base 60m. How many tiles are used to pave the square if the area of one tile is 25 dm2?
- Annular area
The square with side a = 1 is inscribed and circumscribed by circles. Find the annular area.
- Garden fence
The garden has the shape of a rectangular triangle with an area of 96 square meters and a 16 m long one leg. How many meters of the fence need to be fenced?
- Is right triangle or not
If right triangle ABC, have sides a=13, b=11.5, c=22.5. Find area.
- The plaster cast
The plaster cast has the shape of a regular quadrilateral pyramid. The cover consists of four equilateral triangles with a 5 m side. Calculate its volume and surface area.
- Diamond area from diagonals
In the diamond ABCD is AB = 4 dm and the length of the diagonal is 6.4 dm long. What is the area of the diamond?
- Diagonal to area
Calculate the area of a rectangle in which the length of the diagonal is 10 cm.
- Inscribed rectangle
The circle area is 216. Determine the area of inscribed rectangle with one side 5 long.
- Circles
The area of a circle inscribed in a square is 14. What is the area of a circle circumscribed around a square?
- Triangle
Calculate the triangle sides if its area S = 630 and the second cathetus is shorter by 17.
- Hexagon area
The center of the regular hexagon is 21 cm away from its side. Calculate the hexagon side and its area.
- Rhombus
The rhombus with area 68 has one diagonal is longer by 6 than second one. Calculate the length of the diagonals and rhombus sides.
- Horses playground
The fence for the horses has the shape of a rectangular trapezoid with an area of 400 m2, the base lengths should be 31 m and 19 m. How many meters of boards will they need to fence it if the boards are stacked in 5 rows?
- Waste
How many percents are waste from a circular plate with a radius of 1 m from which we cut a square with the highest area?
- Leg
Determine the trapezoid area with bases 71 and 42, and the height is 4 shorter than its leg.
- Equilateral triangle
Calculate the area of an equilateral triangle with circumference 72cm.
- Flakes
We describe a circle of the square, and we describe a semicircle above each side of the square. This created 4 flakes. Which is bigger: the area of the central square, or the area of four flakes?
- RT 11
Calculate the area of right tirangle if its perimeter is p = 45 m and one cathethus is 20 m long.
- 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?
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