Question

a rectangle has length 50 cm and breadth 45 cm . A square has each side 48 cm .which has more area and by how much​

Answer 1

Given :-

• Length of Rectangle = 50cm
• Breadth of Rectangle = 45cm
• Each side of the Square = 48cm

To Find :-

• Which shape has more area and by how much.

Solution :-

➞ Area of Rectangle = Length × Breadth

➞ Area of Rectangle = 50 × 45

➞ Area of Rectangle = 2250cm²

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➞ Area of Square = (Side)²

➞ Area of Square = Side × Side

➞ Area of Square = 48 × 48

➞ Area of Square = 2304cm²

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Clearly, it can be seen that , Square has a larger area, For finding how much it is larger we will simply substract the Area of Rectangle from Area of Square

➞ Area of Square - Area of Rectangle

➞ 2304 - 2250

➞ 54m²

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Therefore, Area of Square is larger then Area of Rectangle by 54m

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★ Additional Info :

Formulas Related to Rectangle :

• Perimeter of Rectangle = 2( l + b)
• Area = Length × Breadth
• Length = Area / Breadth
• Breadth = Area / Length
• Diagonal = √(l)² + (b)²

Formulas Related to Square :

• Perimeter = 4 × Side
• Area = Side × Side
• Side of Square = √Area
• Diagonal = √2 × Side
• Area = ½ × (Diagonal)²
• Area = (Perimeter ÷ 4)²

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Answer 2

Question ::-

A rectangle has length 50 cm and breadth 45 cm . A square has each side 48 cm .which has more area and by how much.

Given ::-

• Length of rectangle = 50cm

• Breadth of rectangle = 45cm

• Side of square = 48cm

To find ::-

• which has more area and by how much ?

Solution ::-

• Length of rectangle = 50cm

• Breadth of rectangle = 45cm

Area of rectangle = length × Breadth

Area = 50 × 45

Area = 2250 ${cm}^{2}$

________

• Side of square = 48 m

Area of square = Side × side

Area = 48 × 48

Area = 2304 ${cm}^{2}$

________

Square has more area. Let's , check it with calculation

= Area of square - area of rectangle

= 2304 ${cm}^{2}$ - 2250 ${cm}^{2}$

= 54 ${cm}^{2}$