area of rhombus is 84m2.if its perimeter is 40m,then find its altitude

wrong answer

sfw h

Wrong answer

helo wrong answer

To find the altitude of a rhombus, we need to use the given information about its area and perimeter.

Let's start by using the formula for the area of a rhombus, which is:

Area = (d1 * d2) / 2,

where d1 and d2 are the lengths of the diagonals of the rhombus.

Since the area of the rhombus is given as 84 square meters, we can write the equation as:

84 = (d1 * d2) / 2.

Next, let's consider the perimeter of the rhombus. The perimeter of a rhombus is given by the formula:

Perimeter = 4s,

where s is the length of one side of the rhombus.

In this case, the perimeter is given as 40 meters, so we can write the equation as:

40 = 4s.

To find the length of one side, we can divide both sides of the equation by 4:

s = 40 / 4,

simplifying to:

s = 10 meters.

Since a rhombus has equal sides, we can consider s as the length of all sides.

Now, let's find the lengths of the diagonals using the side length:

In a rhombus, the diagonals are perpendicular bisectors of each other, splitting the rhombus into four congruent right triangles.

Using the Pythagorean Theorem, we can find the length of the diagonals as follows:

d1^2 = s^2 + s^2,
d1^2 = 2s^2,
d1 = sqrt(2s^2).

In this case, d1 can be calculated as:

d1 = sqrt(2 * (10^2)) = sqrt(200) = 10sqrt(2).

Similarly, the other diagonal, d2, has the same length:

d2 = 10sqrt(2).

Now that we have the values of d1 and d2, we can substitute them into the equation for the area and solve for the altitude.

84 = (d1 * d2) / 2,
84 = (10sqrt(2) * 10sqrt(2)) / 2,
84 = (100 * 2) / 2,
84 = 200 / 2,
84 = 100.

This equation is not satisfied, which means there is a mistake in the given information or the calculations. Please double-check the values or the formula you provided.

all sides are 10, so its base is 10.

10h = 84
h = 84/10 = 42/5