Diagonal + expression of a variable from the formula - practice problems - page 4 of 11
Number of problems found: 220
- Hexagon ABCDEF
In the regular hexagon ABCDEF, the diagonal AE has a length of 8cm. Calculate the circumference and the hexagon area. - The field
The player crossed the field diagonally and walked the length of 250 m. Calculate the length of the field circumference if one side of the field is 25 meters. - Parallelogram 82626
Calculate the area of a parallelogram if we know the perimeter is 23 cm, the diagonal is 8.5 cm, and one side is 1.5 cm longer. - Calculate 8252
Calculate in cm² the area of a circle whose diameter is equal to the length of the diagonal of a square ABCD with a side of 4cm. - Two circles
Two circles with the same radius, r = 1, are given. The center of the second circle lies on the circumference of the first. What is the area of a square inscribed in the intersection of given circles? - Diamond diagonals
Calculate the diamond's diagonal lengths if its area is 156 cm² and the side length is 13 cm. - 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. - Rectangle
The length of the rectangle is in the ratio of 5:12, and the circumference is 238 cm. Calculate the length of the diagonal and the area of the rectangle. - Rectangle 35
Find the rectangle area when the diagonal is equal to 30 cm and the width is double the length. - Rectangular plot
The dimensions of a rectangular plot are (x+1)m and (2x-y)m. If the sum of x and y is 3m and the plot's perimeter is 36m. Find the area of the diagonal of the plot. - Diamond diagonals
Find the diamond diagonal's lengths if the area is 156 cm² and the side is 13 cm long. - Diamond diagonals
Calculate the diamonds' diagonal lengths if the diamond area is 156 cm square and the side length is 13 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. - The rope
A 68-centimeter-long rope is used to make a rhombus on the ground. The distance between a pair of opposite side corners is 16 centimeters. What is the distance between the other two corners? - Diagonals 81884
In an isosceles trapezoid, the basic lengths are 15 cm and 9 cm. The diagonals are 13 cm long. Calculate the perimeter and area of the trapezoid. - Rectangular 80776
The perimeter of the rectangular garden is 42 meters. Its sides are in the ratio 3:4. Calculate the length of the sidewalk that is the diagonal of the garden. - A rectangle 2
A rectangle has a diagonal length of 74cm. Its side lengths are in a ratio of 5:3. Find its side lengths. - Rectangular garden
The sides of the rectangular garden are in a ratio of 1:2. The diagonal has a length of 20 meters. Calculate the area and perimeter of the garden. - 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? - Circumference 5254
Calculate the shorter side and the diagonal of the rectangle if one side is 2 cm longer than the other and its circumference is equal to 70 centimeters.
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