the cast of painting a wall with dimensions 15m by 20m is 6250 find the altitude of a rhombus shaped window with side 7.5 m,,if the rate of painting 25 per m
To find the altitude of a rhombus-shaped window, we need to use the formula:
Area of a rhombus = (diagonal 1 * diagonal 2) / 2.
Since the sides of a rhombus are equal, the diagonals bisect each other and the altitude will be half the length of one of the diagonals.
Given that the side of the rhombus-shaped window is 7.5 m, we can find the length of one diagonal by using the Pythagorean theorem.
Let's calculate the length of the diagonal:
Using the formula: a^2 + b^2 = c^2, where a and b are the sides of the rhombus and c is the length of the diagonal, we can solve for c:
7.5^2 + 7.5^2 = c^2
56.25 + 56.25 = c^2
112.5 = c^2
Taking the square root of both sides gives us:
c = √112.5
c ≈ 10.61 m
The altitude of the rhombus-shaped window will be half the length of one of the diagonals:
Altitude ≈ 10.61 / 2
Altitude ≈ 5.30 m
Therefore, the altitude of the rhombus-shaped window is approximately 5.30 meters.