Question

The perimeter of a rectangle is 54cm. One side is 6cm longer than the other. Find the area of the rectangle​

Answer 1

Given :-

• Perimeter = 54 cm
• One side = 6 cm + Other side

To find :-

Area of rectangle = ?

Solution :-

Let one side be length = x.

So the other side be breadth = y = (x + 6) cm

   Perimeter = 2 (l + b)

⇒ Perimeter = 2 (x + x + 6)

⇒ Perimeter = 2 (2x + 6)

⇒ Perimeter = 4x + 12

⇒ 54 = 4x + 12

⇒ 4x = 54 - 12

⇒ 4x = 42

⇒ x = 42 ÷ 4

⇒ x = 10.5 cm

For finding the value of y:

  y = x + 6

→ y = 10.5 + 6

→ y = 16.5 cm

∴ Length = 10.5 cm

Breadth = 16.5 cm

   Area = Length × Breadth

⇒ Area = (10.5) (16.5)

⇒ Area = 173.25