Question

Two squares of maximum size were obtained from one rectangle a) How many times is the length of rectangle to its breadth ?​

Answer 1

Given :- Two squares of maximum size were obtained from one rectangle

To Find :- How many times is the length of rectangle to its breadth ?

Solution :-

Let us assume that,

• Length of rectangle = L
• Breadth of rectangle = B
• L > B .
• Side of square = S .

we know that,

• The maximum size of a square in a rectangle will be the square of the shortest side of that rectangle. { gcd of (Length , Breadth) .}

so,

→ B = S .

and, given that , 2 squares are obtained from rectangle.

then,

→ Area of 2 squares = Area of rectangle

→ 2 * (side)² = Length * Breadth

→ 2 * S² = L * B

→ 2 * S² = L * S

→ L = 2S .

therefore,

→ L = 2B .

hence, we can conclude that, length of the rectangle will be twice to its breadth .

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