Question

Deepak has rectangular field of length 45m and breadth 10m. He wants to divide it into square shaped areas of side 15m. Into how many squares will be able to divide the whole region​

Answer 1

Answer:

• Length of Rectangle = 45 m
• Breadth of Rectangle = 10 m
• Side of Square = 15 m

When we will divide Rectangle into equal Squares , Dimensions will change but Area won't.

• According to the Question :

⇢ Area of Rectangle = Area of Square × Number

⇢ Length × Breadth = (Side)² × Number

⇢ 45 m × 10 m = (15 m)² × Number

⇢ 450 m² = 225 m² × Number

⇢ 450 m² / 225 m² = Number

⇢ Number = 2

∴ Whole region can be divided into 2 parts.

Answer 2

★ Given :

➙ Length of the rectangular field = 45m

➙ Breath of the rectangular field = 10m

➙ Side of the square to which the rectangle will be divided = 15m

★ To Find :

➙ Number of squares be able to divide the whole region .

★ Considering :

➙ Let the number of squares be 'x'

★ Solution :

➙ According to Question , area of rectangle is equal to area of the square .

᠉ length × breath = ( side )² × x

᠉ 45 × 10 = ( 15 )² x

᠉ 450m² = 225m² × x

᠉ x = 450/225

᠉ x = 2

THEREFORE ,

The rectangular field can be divided into 2 squares .

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