Length + diagonal - practice problems - page 7 of 12
Number of problems found: 227
- Circle and rectangle
The circle describes a rectangle with sides of 11.7 cm and 175 mm. What is its length? Calculate the area of the circle described by this circle. - Square
Dan's father has a square of 65.25 milligram square of wire with a diagonal. How will the square be big when one mm weighs 7 mg? - Satin
Sanusha buys a piece of satin 2.4 m wide. The diagonal length of the fabric is 4m. What is the length of the piece of satin? - Diamond diagonals
Calculate the diamond's diagonal lengths if its area is 156 cm² and the side length is 13 cm.
- Quadrilateral 2
Show that the quadrilateral with vertices P1(0,1), P2(4,2), P3(3,6) P4(-5,4) has two right triangles. - Trapezoid thirds
The ABCD trapezoid has parallel sides AB and CD. The E point lies on the AB side. The segment DE divides the trapezoid into two parts with the same area. Find the length of the AE line segment. - Diagonals
Draw a square ABCD whose diagonals have a length of 6 cm. - Square
Calculate the square's perimeter and area with a diagonal length of 30 cm. - Dimensions 4703
The block has dimensions l = 5 cm, w = 4 cm, and h = 3 cm. Calculate the length of its body diagonal.
- Dimensions 4700
The toolbox has internal dimensions, a length of 1.5 meters, a width of 80 cm, and a height of 6 dm. Calculate the longest rod we can hide in this box. - Calculate 4694
Calculate the length of the body diagonal in a cube of 15 cm. - Rhombus
One angle of a rhombus is 136°, and the shorter diagonal is 8 cm long. Find the length of the longer diagonal and the side of the rhombus. - Rectangle
The rectangle has a perimeter of 75 cm. The diagonal length is 32.5 cm. Determine the length of the sides. - Rectangle 3-4-5
The sides of the rectangle are in a ratio of 3:4. The length of its diagonal is 20 cm. Calculate the area of the rectangle.
- Body diagonal
The cuboid has a volume of 32 cm³. Its side surface area is double as one of the square bases. What is the length of the body diagonal? - Resulting 4446
A square with a side length of 3 cm rotates around its diagonal. Calculate the volume and surface area of the resulting body. - Rhombus and diagonals
The rhombus area is 150 cm2, and the ratio of the diagonals is 3:4. Calculate the length of its height. - Two diagonals
The rhombus has a side length of 12 cm and a length of one diagonal of 21 cm. What is the length of the second diagonal? - Rectangle diagonals
It is given a rectangle with an area of 24 cm² and a circumference of 20 cm. The length of one side is 2 cm larger than the length of the second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers.
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