What is the altitude of a rhombus if its area is 50 square meters and the length on one side is 12.5 meters?
A. 10 m B. 4 m
C. 7.5 m D. 12.5 m
No. of triangles in rhombus = 4
Area of 1 triangle = 50/4 = 12.5
1/2 x b x h = 12.5
1/2 x 12.5 x h = 12.5
h = 2 m
altitude = 2 x 2m = 4m
To find the altitude of a rhombus, you can use the formula:
Altitude = (2 * Area) / Length of a side
Given: Area = 50 square meters and Length of a side = 12.5 meters
Substituting the values into the formula, we get:
Altitude = (2 * 50) / 12.5
= 100 / 12.5
= 8
Therefore, the altitude of the rhombus is 8 meters.
None of the given options A, B, C, or D match the calculated altitude.
To find the altitude of a rhombus, we need to use the formula:
Area = (Base x Altitude) / 2
Given that the area of the rhombus is 50 square meters and the length of one side (base) is 12.5 meters, we can substitute these values into the formula:
50 = (12.5 x Altitude) / 2
To solve for the altitude, we can rearrange the equation:
(12.5 x Altitude) / 2 = 50
12.5 x Altitude = 100
Now, we can solve for the altitude by dividing both sides of the equation by 12.5:
Altitude = 100 / 12.5
Simplifying the division, we get:
Altitude = 8
Therefore, the altitude of the rhombus is 8 meters.
None of the provided answer options (A, B, C, D) includes 8 meters, so none of them is correct.