Question

18. The perimeter of a rectangle is equal to the perimeter of a square. Twice the length of
the rectangle is equal to 3 times, its breadth. If one side of the square measures 100cm,
find the length and the breadth of the rectangle.​

Answer 1

breadth- 80 cm

length- 120 cm

Answer 2

Answer:breadth - 80cm. length - 120cm

Step-by-step explanation:

let : length of rectangle be - l

breadth of rectangle be - b

Given:

Twice the length of the rectangle is equal to 3 times, it's breadth

Thus,2l = 3b - - - - i

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Also given:

Perimeter of Rectangle = Perimeter of Square

Side of square = 100cm

Thus,

4 × side of square = 2×( length + breadth)

⟹ 4 × 100cm = 2× ( l + b)

⟹ 400cm = 2l + 2b

⟹( 3b) +2 b =400 cm [from i we know 2l=3b]

⟹5b= 400cm

⟹ b = breadth = 80 cm

━━━━━━━━━━━━━━━━

Now by substituting b= 80 in the equation i,

2l=3b

⟹2l= 3× 80cm

⟹ 2l= 240cm

⟹ l = length = 120 cm