# Geometry transformation problem

The question is :-

A figure consist of five equal squares in the form of a cross .show how to divide it by two straight cuts into four equal figures which will fit together to form a square.

Please tell what would be our approach to solve the question ,I am confused what would be our steps to proceed,even i cant guess the first step (please clearly elaborate your steps) . It is a question under the chapter Triangle of an olympiad book so something must be related to triangles definitely.

• I saw the video its a nice video :) but can you tell that for a student like me how would i be able to think such a solution.. my exact question is that is there a method for these type of transformation problems? – Akshaj Bansal Jun 13 '19 at 15:34
• @Ak19 In your solution figures are not congruent. – Michael Rozenberg Jun 13 '19 at 15:38

You are hinted by the fact that if the pieces have equal area, they must have sides $$\dfrac{\sqrt5}2$$, which evokes the diagonal of $$2\times1$$ rectangles. • @AkshajBansal: what is the diagonal of a $2\times1$ rectangle ? What is the area of the squares ? – Yves Daoust Jun 13 '19 at 18:04 