The diagonal of a rhombus are 16cm nd 8cm long.find the measure of the side of a sq. Whose area is the same as that of the rhombus
gve me ful sltn nd ans. 8m
The area of a rhombus is (1/2) product of the diagonals
= (1/2)(16)(18) = 144
so in a square of 144 units^2 , let each side be x
x^2 = 144
x = 12
Calculate the area of a rhombus whole diagonals are 8cm and 16cm long
To find the measure of the side of a square whose area is the same as that of the rhombus, we can use the formula for the area of a rhombus:
Area of a rhombus = (d1 * d2) / 2
Given that the diagonals of the rhombus are 16 cm and 8 cm long, we can substitute these values into the formula:
Area of the rhombus = (16 cm * 8 cm) / 2
= 128 cm²
Now, let's calculate the side length of the square with an area of 128 cm²:
Area of a square = side length * side length
Since the area of the square is the same as the area of the rhombus, we can set the two equations equal to each other:
128 cm² = side length * side length
To find the side length, we can take the square root of both sides of the equation:
√(128 cm²) = √(side length * side length)
Simplifying the equation:
11.31 cm = side length
Therefore, the measure of the side of the square is approximately 11.31 cm.
Note: The answer is in centimeters (cm), not meters (m).