Diagonal of rhombus are 24 and . Find its area and perimeter:/help me fast

Do you not see that you are missing some data here?

To find the area and perimeter of a rhombus, we need to know either the length of the side or the lengths of its diagonals. However, you have only provided the length of one diagonal.

Here's how we can find the missing information before calculating the area and perimeter:

Step 1: Use the given diagonal length to find the lengths of the sides.
- In a rhombus, the diagonals bisect each other at right angles, forming four congruent right triangles.
- Since the diagonals are equal in length in a rhombus, each diagonal will be divided into two equal halves.
- Let's assume the length of each half of the diagonal is 'd'. Therefore, the full length of the diagonal is 2d, which is given as 24.
- So, 2d = 24, which means d = 24/2 = 12.
- Now we know the length of one half of the diagonal, which is 12.

Step 2: Use the Pythagorean theorem to find the length of the sides.
- In each right triangle formed by the diagonals, the length of one side is half the other diagonal length.
- Using the formula for the Pythagorean theorem, we can find the length of the sides.
- The formula is a^2 + b^2 = c^2, where c is the hypotenuse (diagonal) and a, b are the other two sides.
- Substitute the values:
a^2 + b^2 = (12)^2
a^2 + b^2 = 144
- Since the two right triangles are congruent, a and b will be equal. So we can write it as:
2a^2 = 144
a^2 = 144/2
a^2 = 72
- Now, take the square root of both sides to find the length of one side (a):
a = √(72)
a ≈ 8.49 (rounded to two decimal places)

Step 3: Calculate the area and perimeter.

Area of a rhombus:
- The area of a rhombus can be calculated as (diagonal1 * diagonal2) / 2.
- Since the two diagonals of a rhombus are equal, we can use (d * d) / 2 formula, where d is the length of the diagonal.
- Substitute the value:
Area = (12 * 12) / 2
Area = 144 / 2
Area = 72 square units

Perimeter of a rhombus:
- Since all sides of a rhombus are equal in length, we can calculate the perimeter by multiplying the length of one side by 4.
- Perimeter = 4 * a
- Substitute the value of a:
Perimeter = 4 * 8.49
Perimeter ≈ 33.96 (rounded to two decimal places)

So, the area of the rhombus is 72 square units and the perimeter is approximately 33.96 units.