Square (second power, quadratic) - practice problems

Number of problems found: 2986

The perimeter 13
The perimeter of a rectangle is 22cm. What are its dimensions if it has a maximum area?
Isosceles right triangle
If I have a triangle with a right angle 24 inches long on each side of the right angle what is the length of the third side?
Equilateral RT
On a right triangle, side a is 12, and side b is 12. What is side c?
Four plates
Four equal maximum sized circular plates are cut off from a square paper sheet of area 784 sq cm. Calculate the circumference of each plates.
Square park
Amyra goes for a walk in a square park . The perimeter of the park is 1235 m. Find side of the park.
Area + perimeter TR2
Find the area of a triangle, two sides of which are 8 cm and 11 cm and the perimeter is 32 cm.
GP - negative term
The first term of a GP is -3 and the square of the second term is equal to its 4th term. Find the 7th term of the GP.
Eva wraps
Eva wraps a gift box in the shape of a right rectangular prism. The figure shows a net for the gift box. How much wrapping paper did she use, in square meters?
The surface 5
The surface area of a cylinder is 6140 cm², and the radius is 25 cm. What is the height?
A rope for cow
Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 154 sq m .
Parallel lines - dist
Find the distance between the parallel lines 3x – 4y +7 = 0 and 3x – 4y + 5 = 0
A person 2
A person has 2 parents, 4 grandparents, 8 great grandparents, and so on. Find the number of his ancestors during the ten generations preceding his own.
Angle of inclination
Find the angle of inclination of a ramp that rise for 80 cm and is 200 cm long.
A rectangle 15
A rectangle is 5 cm longer its width. It areas is 6 cm square. What are the dimensions of the rectangle.
Rhombus = area, diagonal
The area of a rhombus is 144 sq cm. One of its diagonals is twice the other. How long is the shorter diagonal?
The rhombus (a,d)
Find the area of a rhombus, one side of which measures 20 cm, and one diagonal 24 cm.
A tree 3
A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree.
A field
A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m and the non parallel sides are 14 m and 13 m. Find the area of the field.
Triangle 90
Triangle made by 6 cm 4.5 cm and 7.5 cm. what angles does it make?
765 chairs
765 chairs are arranged in rows in such a way that the number of chairs in each row is equal to the number of rows. How many chairs needs to be removed to complete this arrangement?

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