Equation + square (second power, quadratic) - practice problems
Number of problems found: 463
- A rectangle 15
A rectangle is 5 cm longer its width. It areas is 6 cm square. What are the dimensions of the rectangle.
- 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.
- The sum 51
The sum of two numbers is 100 and difference is 37 . Find the difference between their squares.
- Two circles 3
Two circles are inscribed in a square whose side is 4 cm. Find the radius of the smaller circle.
- Sum of squares
If the first number is 80% of the second number and 4 times the sum of their squares is 656, find the numbers.
- Square lawn
A square lawn has a 2 m wide path surrounding it. If the area of the path is 136 square meters, find the area of the lawn.
- Difference of squares
If the difference between two numbers is 3 and the difference of their squares is 39, then find the larger number.
- The Product 16
The Product of two numbers is 96, and their quotient is 6. Find the numbers.
- A boat 3
A boat takes 1 hour longer to go 36 km up a river than to return. If the river flows at 3 km/h, find the rate at which the boat travels in still water.
- Of three
Of three positive numbers the product of the first and second is 42, second and third is 56 and that of third and first is 48. Find the third number.
- Mean proportional
If x+7 is the mean proportional between (x+3) and (x+12), find the value of x .
- The length 19
The length and the width of a rectangle are (x+2) and (x-3). If it area is 24cm², what are its dimensions?
- Number 77
Find a number which is as much greater than 31 as it is less than 77. Many failed to do it!
- A parallelogram
The area of a parallelogram is 338 m². If its altitude is twice the corresponding base, find the base and the altitude.
- An equilateral triangle 2
If the sides of an equilateral triangle are increased by 2 meters, the area is increased by 7√3 square meters. Find the length of the side.
- Sum of squares
The product of two numbers is 12. If the sum of their squares is 40, find the numbers.
- A right 3
A right triangle has a perimeter of 300 cm . its hypotenuse is 130cm. What are the lengths of the other sides .
- Harold
Harold made a rectangular dog run in his backyard. The area of the dog run is 96 square feet. What are three different possible dimensions of dog run?
- Five added
Five is added to the square root of the product of nine, and a number is equal to eight. Find the number.
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