If the height of a parallelogram having 500 cm² as the area is 20 cm, ...
• Area of parallelogram = Base ×height
500 cm^2= base ×20 cm
Base = 500/20= 25 cm
If the height of a parallelogram having 500 cm² as the area is 20 cm, ...
Given:
- Area of parallelogram = 500 cm²
- Height of parallelogram = 20 cm
To find:
- Length of the base of the parallelogram
Solution:
Step 1: Understanding the Formula
The formula to calculate the area of a parallelogram is given by:
Area = base × height
Step 2: Substituting the Values
We are given the height of the parallelogram as 20 cm and the area as 500 cm². Substituting these values into the formula, we get:
500 cm² = base × 20 cm
Step 3: Solving for Base
To find the length of the base, we need to isolate it on one side of the equation. Dividing both sides of the equation by 20 cm, we get:
500 cm² ÷ 20 cm = base
Simplifying the equation, we have:
25 cm = base
Step 4: Final Answer
The length of the base of the parallelogram is 25 cm.
Explanation:
- The area of a parallelogram is calculated by multiplying the base length with the height.
- In this case, the area is given as 500 cm² and the height is given as 20 cm.
- By substituting these values into the formula and solving for the base, we find that the length of the base is 25 cm.
- Therefore, the base of the parallelogram is 25 cm.