Right-angled 66344
From a square with a side of 4 cm, we cut four right-angled isosceles triangles with right angles at the square's vertices and with an overlap of √2 cm. We get an octagon. Calculate its perimeter if the area of the octagon is 14 cm2.
Correct answer:

Tips for related online calculators
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
See also our right triangle calculator.
Tip: Our volume units converter will help you convert volume units.
See also our right triangle calculator.
Tip: Our volume units converter will help you convert volume units.
You need to know the following knowledge to solve this word math problem:
- arithmetic
- square root
- planimetrics
- Pythagorean theorem
- right triangle
- polygon
- area of a shape
- perimeter
- numbers
- fractions
Units of physical quantities:
Grade of the word problem:
Related math problems and questions:
- Right-angled 66364
From a rectangular board with dimensions of 2 m and 3 m, we cut isosceles right-angled triangles at the corners with an overhang of 40 cm. Calculate the ratio of the areas of the rest of the board to its total original area.
- Equilateral 2543
a) The perimeter of the equilateral triangle ABC is 63 cm. Calculate the side sizes of the triangle and its height. b) A right isosceles triangle has an area of 40.5 square meters. How big is his circuit? c) Calculate the square's area if the diagonal's s
- Octagon from rectangle
From a rectangular tablecloth shape with dimensions of 4 dm and 8 dm, we cut down the corners in the shape of isosceles triangles. It thus formed an octagon with an area of 26 dm². How many dm² do we cut down?
- Recursion squares
In the square, ABCD has inscribed a square so that its vertices lie at the centers of the sides of the square ABCD. The procedure of inscribing the square is repeated this way. The side length of the square ABCD is a = 22 cm. Calculate: a) the sum of peri
- Isosceles 7661
The area of the isosceles triangle is 8 cm2, and its arm's length is 4 cm. Calculate the sizes of its interior angles.
- Octagon
We have a square with a side 56 cm. We cut corners to make his octagon. What will be the side of the octagon?
- Right-angled 5804
We sorted the lengths of the sides of the two triangles by size: 8 cm, 10 cm, 13 cm, 15 cm, 17 cm, and 19 cm. One of these two triangles is right-angled. Calculate the perimeter of this right triangle in centimeters
- Right angled
We built a square with the same area as the right triangle with legs 12 cm and 20 cm. How long will be the side of the square?
- Right-angled 80745
The area of a right-angled triangle KLM with a right angle at the vertex L is 60 mm square, and its hypotenuse k is 10 mm long. Triangles KLM and RST are similar. The similarity ratio is k=2.5. Calculate the area of triangle RST.
- Right-angled 27683
Right-angled triangle XYZ is similar to triangle ABC, which has a right angle at the vertex X. The following applies a = 9 cm, x=4 cm, x =v-4 (v = height of triangle ABC). Calculate the missing side lengths of both triangles.
- Square metal sheet
We cut out four squares of 300 mm side from a square sheet metal plate with a side of 0,7 m. Express the fraction and the percentage of waste from the square metal sheet.
- Octagonal mat
Octagonal mat formed from a square plate with a side of 40 cm so that every corner cut the isosceles triangle with leg 3.6 cm. What is the area of one mat?
- Nonagon
Calculate the area and perimeter of a regular nonagon if its radius of the inscribed circle is r = 10cm
- Triangles
An equilateral triangle with a side 16 cm has the same perimeter as an isosceles triangle with an arm of 23 cm. Calculate the base x of an isosceles triangle.
- Calculate 7580
The isosceles triangle XYZ has a base of z = 10 cm. The angle to the base is the sum of the angles at the base. Calculate the area of the triangle XYZ.
- Rectangles
Calculate how many squares/rectangles of size 4×3 cm we can cut from a sheet of paper of 36 cm×32 cm.
- Candy - MO
Gretel deploys different numbers to the vertex of a regular octagon, from one to eight candy. Peter can then choose which three piles of candy to give Gretel others retain. The only requirement is that the three piles lie at the vertices of an isosceles t