Advertisements
Advertisements
Question
Sum of the areas of two squares is 468 m2. If the difference of their perimeters is 24 m, find the sides of the two squares.
Solution
Let the side of the first square be 'a' m and that of the second be ′A′ m.
Area of the first square = a2 sq m.
Area of the second square = A2 sq m.
Their perimeters would be 4a and 4A respectively.
APPEARS IN
RELATED QUESTIONS
Find the roots of the following equations:
`x-1/x = 3, x ≠ 0`
The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.
`x^2-(sqrt2+1)x+sqrt2=0`
The sum of the areas of two squares is `640m^2` . If the difference in their perimeter be 64m, find the sides of the two square
The length of a rectangle is thrice as long as the side of a square. The side of the square is 4 cm more than the width of the rectangle. Their areas being equal, find the dimensions.
Solve the following quadratic equation by completing the square method.
x2 + x – 20 = 0
Solve the following quadratic equation by completing the square method.
5x2 = 4x + 7
Form the quadratic equation from the roots given below.
\[2 - \sqrt{5}, 2 + \sqrt{5}\]
A motor boat whose speed in still water is 18 km/hr takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.
The ratio of two numbers is 3:2 and the difference of their square is 500. Find the numbers.