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

2 thoughts on “The perimeter of a rectangle is 54cm. One side is 6cm longer than the other. Find the area of the rectangle​”

1. Answer:

   let length be x

   and breadth be y

   first condition.

   x-y=6

   second condition.

   2(x+y)=54

   x+y = 27

   and solve

   hope it helps you

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2. 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

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