Question

the length of a rectangle is 4 cm more than the breadth . if the perimeter of rectangle is 80cm find the area of the rectangle

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Answer 1

Answer:

The area of the rectangle is 396 cm²

Step-by-step explanation:

Given :

The length of a rectangle is 4 cm more than the breadth. The perimeter of the rectangle is 80 cm.

To find :

the area of the rectangle

Solution :

Let the length of the rectangle be l cm and breadth be b cm

Length of the rectangle = breadth of the rectangle + 4 cm

l = b + 4

Perimeter of the rectangle = 2(length + breadth)

  80 cm = 2(l + b)

  80 = 2(b + 4 + b)

  80/2 = 2b + 4

 40 = 2b + 4

 2b = 40 - 4

 2b = 36

  b = 36/2

  b = 18

Hence, the breadth of the rectangle is 18 cm

⇒ l = b + 4

  l = 18 + 4

  l = 22 cm

The length of the rectangle is 22 cm

We know,

Area of the rectangle = length × breadth

     = 22 cm × 18 cm

     = 396 cm²

Answer 2

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