Which has greater perimeter, a square of side 5 cm or a rectangle of length 4 cm and breadth 5 cm?
Answers
Answer:
I hope the answer helps you
Given :
• Side of a square = 5 cm
• Length of a rectangle = 4 cm
• Breadth of a rectangle = 5 cm
To find :
Which has greater perimeter rectangle or square?
Solution :
Calculating the perimeter of square :-
Using formula,
Perimeter of sqaure = 4a
where,
a denotes the side of square
Substituting the given values :-
→ Perimeter of square = 4 × 5
→ Perimeter of square = 20
Therefore, the perimeter of square = 20 cm
Now, calculating the perimeter of rectangle :-
Using formula,
Perimeter of rectangle = 2(l + b)
where,
l denotes the length of the rectangle
b denotes the breadth of the rectangle
Substituting the given values :-
→ Perimeter of rectangle = 2(4 + 5)
→ Periemter of rectangle = 2(9)
→ Perimeter of rectangle = 18
Therefore, the perimeter of rectangle = 18 cm
Perimeter of sqaure > Perimeter of rectangle
The perimeter of square is greater than the perimeter of rectangle by 2 cm.