Question

9. Which has greater perimeter , square
of side 4m or rectangle of dimentions 3m
X 4m? *

Answer 1

Answer:

Explanation:

Given :

• Side of square (a) = 4 m
• Length of rectangle (l) = 3 m
• Breadth of rectangle (b) = 4 m

To Find :

• Which has greater perimeter.

Solution :

We know,

Perimeter of square = 4 × a

=> Perimeter = 4 × 4

=> Perimeter = 16 m

Again, we know,

Perimeter of rectangle = 2(l + b)

=> Perimeter = 2(3 + 4)

=> Perimeter = 2(7)

=> Perimeter = 14 m

.°. 16 > 14

.°. Perimeter of square > Perimeter of rectangle

Hence :

Square has greater perimeter.

Answer 2

Given :-

• Side of Square is 4 m
• Length ( l ) of  Rectangle is 3 m
• Breadth ( b ) of  Rectangle is 4 m

To Find :-

• Which of the following shape will have greater perimeter ?

Solution :-

❒ We're given measures of both the shapes . So, we'll find out their perimeter by applying the formulas and will compare it in order to find which one has greater perimeter .

➼ Finding the Perimeter of Square .

★ Perimeter of Square = 4 × Side ★

→ 4 ( 4 m )

→ 16 m

---------------------

➼ Finding the Perimeter of Rectangle

★ Perimeter of Rectangle = 2 ( l + b )

→ 2 ( 3 m + 4 m )

→ 2 ( 7 m )

→ 14 m

----------------------

∴ The Square has greater perimeter here .

More to know :-

➺  Perimeter of a square = 4 ( Side )

➺ Perimeter of a rectangle = 2 ( Length + Breadth )

➺ Perimeter of a Triangle = Sum of all Sides

➺ Perimeter of a Circle = 2πr