Question

The area of square is equals to area of five times of rectangle of dimension 125cm,64cm what is perimeter of square

Answer 1

✬ Perimeter = 800 cm ✬

Step-by-step explanation:

Given:

• Area of square is equal to five times the area of rectangle.
• Length and breadth of rectangle is 125 and 64 cm respectively.

To Find:

• What is the perimeter of square ?

Solution: Let the sides of square be s cm. Therefore,

➟ Area of square = s²

As we know that

★ Ar. of Rectangle = Length•Breadth ★

$\implies{\rm }$ Area = 125(64) cm²

$\implies{\rm }$ Area = 8000 cm²

A/q

• Area of square is equal to five times the area of rectangle.

$\implies{\rm }$ s² = 5(8000)

$\implies{\rm }$ s² = 40000

$\implies{\rm }$ s = √40000

$\implies{\rm }$ s = 200

So, the side of square is 200 cm. Now

★ Perimeter of Square = 4(Side) ★

➽ Perimeter = 4(200)

➽ 800 cm

Hence, the perimeter of square is 800 cm.

Answer 2

Given ,

• The area of square is equals to five times to the area of rectangle

• The length and breadth of rectangle are 125 cm and 64 cm

According to the question ,

Area of square = 5(Area of rectangle)

(a)² = 5(125 × 64)

(a)² = 5 × 8000

(a)² = 40000

a = √40000

a = 200 cm

★ The side of square is 200 cm

Now , the perimeter of square is given by

$\boxed{ \sf{Perimeter = 4a}}$

Thus ,

Perimeter = 4 × 200

Perimeter = 800 cm

★ The perimeter of square is 800 cm