Quadratic equation + area of a shape - practice problems - page 5 of 6
Number of problems found: 119
- Trapezoid 15
The area of a trapezoid is 266. What value is x if bases b1 is 2x-3, b2 is 2x+1, and height h is x+4 - Trapezium
The lengths of parallel sides of a trapezium are (2x+3) and (x+8), and the distance between them is (x+4). If the area of the trapezium is 590, find the value of x. - Triangle ABC v2
The area of the triangle is 12 cm square. Angle ACB = 30º , AC = (x + 2) cm, BC = x cm. Calculate the value of x. - Cuboid and eq2
Calculate the volume of a cuboid with a square base and height of 6 cm if the surface area is 48 cm².
- 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? - Right triangle eq2
The hypotenuse of a right triangle is 9 cm longer than one leg and 8 cm longer than the second leg. Determine the circumference and area of a triangle. - Square vs rectangle
A square and a rectangle have the same areas. The rectangle's length is nine greater, and the width is six less than the side of the square. Calculate the side of a square. - 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. - Square and rectangle
Calculate the side of a square, which area equals the area of the rectangle having a length of 3 cm greater and by 2 cm smaller than the side of the square.
- Rectangle
Calculate the area of the rectangle if its length is 12 cm longer than its width and length is equal to the square of its width. - Determine 3779
Determine the perimeter of the rectangle if its length and width are 2:1 and the area is 98 cm². - Trapezoid
trapezoid ABCD a = 35 m, b=28 m c = 11 m and d = 14 m. How to calculate its area? - Hexagonal prism 2
The regular hexagonal prism has a surface of 140 cm² and a height of 5 cm. Calculate its volume. - Dimensions 3159
The rectangle is 6 cm longer than the width. A square with a side equal to the length of the rectangle has an area of 78 cm² larger than the rectangle. Calculate the dimensions of the rectangle.
- Rectangle vs square
One side of the rectangle is 1 cm shorter than the side of the square. The second side is 3 cm longer than the side of the square. The square and rectangle have the same area. Calculate the length of the sides of a square and a rectangle. - Trapezium
The length of the base and the height size of the trapezium base are at a ratio of 5:3:2. The area of the trapezium is 128 cm². Calculate the length of the base and the height of the trapezoid. - Square
The square's side length decreases by 25%. Now it has an area of 28 cm² lower. Find the side of the original square. - Cinema 4
In the cinema are 1656 seats and in the last row are 105 seats, in each next row 3 seats less. How many are the total rows in the cinema? - Trapezoid
Area of trapezoid is 135 cm². Sides a, c and height h are in a ratio of 6:4:3. How long are a,c and h? Make calculation.
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