Question

the perimeter of a rectangle and a square are the same.if the length and breath of the rectangle are 10 cm and 5 cm respectively,what will be the side length of the square?

Answer 1

Answer:

7.5

Step-by-step explanation:

perimeter of rectangle = 2(l+b)=2×10+5=2×15=30 cm squared

since perimeter of rectangle and square are equal

thus, perimeter of square= 30 cm squared

which means that 4×s=30

which means that length of side is 30/4=7.5 cm squared

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Answer 2

Given :

• The perimeter of a rectangle and a square are the same.

• The length and breadth of the rectangle are 10 cm and 5 cm.

To Find :

• The length of side of the square.

Solution :

★ Perimeter of the rectangle = 2(l+b)

★ Perimeter of the square = 4 × side

According to the question :

→ 2(l+b) = 4 × side

→ 2(10+5) = 4 × side

→ 20 + 10 = 4 × side

→ 30 = 4 × side

→ side = 30/4

→ side = 7.5 cm

$\therefore$ Length of side of square is 7.5 cm

Verification :

Put the value of side as 7.5 cm

→ 2(l+b) = 4 × side

→ 2(10+5) = 4 × 7.5

→ 20 + 10 = 30

→ 30 = 30

Hence,Verified!