A rectangle and a square have the same perimeter 100 cm. Find the side of the square. If the rectangle has a breadth 2 cm less than that of the square. Find the breadth, length and area of the rectangle.
Perimeter of the square = 100 cm
Perimeter 100
Side of the square = Perimeter/4 = 100/4 =25cm.
∴ Breadth of the rectangle = 25cm– 2cm = 23cm
Now perimeter of the rectangle = 100cm
∴ 2 [length + breadth] = 100 length + breadth = 100 ÷ 2 = 50 cm
But breadth = 23cm
∴ Length = 50cm – 23cm = 27cm
Now, Area of the rectangle = length × breadth = 27cm × 23cm = 621sq.cm.