Question

Perimeter of a rectangle is 28 cm. If length is greater than breadth by 2 cm. Find area of reactangle

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Answer 1

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Answer 2

Answer ::

The area of rectangle is 48cm².

Step-by-step explanation ::

To Find :-

• The area of rectangle

Solution :-

Given that,

• Perimeter of rectangle = 28cm
• Length is greater than breadth by 2cm

Let us assume the length of rectangle as x + 2 and the breadth of rectangle as x,

As we know that,

Perimeter of rectangle = 2 ( l + b )

Where,

• l = Length
• b = Breadth

➟ 2 ( l + b ) = 28

➟ 2 ( x + 2 + x ) = 28

➟ x + x + 2 = 28/2

➟ 2x + 2 = 14

➟ 2x = 14 - 2

➟ 2x = 12

➟ x = 12/2

➟ x = 6

The length of rectangle is,

➟ x + 2

➟ 6 + 2

➟ 8cm

The breadth of rectangle is,

➟ x

➟ 6cm

ACCORDING THE QUESTION,

The area of rectangle is,

As we know that,

Area of rectangle = Length × Breadth

• Length = 8cm
• Breadth = 6cm

➟ Area = 8cm × 6cm

➟ Area = 48cm²

The area of rectangle is 48cm².