A rectangle has a length of 15 m and a perimeter of 50 m. What is the ...
Perimeter of a rectangle = 2 × (Length + Breadth). Given 50 m = 2 × (15 m + Breadth). Solving for Breadth, we get Breadth = 25 m / 2 = 5 m.
View all questions of this test
A rectangle has a length of 15 m and a perimeter of 50 m. What is the ...
Understanding the Problem
To find the breadth of the rectangle, we first need to understand the relationship between the length, breadth, and perimeter of a rectangle.
Given Data
- Length (L) = 15 m
- Perimeter (P) = 50 m
Perimeter Formula
The formula for the perimeter of a rectangle is:
P = 2 * (L + B)
Where:
- P is the perimeter
- L is the length
- B is the breadth
Substituting Known Values
We can substitute the known values into the perimeter formula:
50 = 2 * (15 + B)
Solving for B
1. Divide both sides by 2:
25 = 15 + B
2. Subtract 15 from both sides:
B = 25 - 15
B = 10 m
Conclusion
Thus, the breadth of the rectangle is 10 m.
The correct answer is option 'b' (10 m), not 'a' (5 m). If there was a misunderstanding regarding the options, it's important to verify the calculations and options provided.
Feel free to ask more questions about rectangles or any other topic!