Geometry transformation problem

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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.

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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.

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This image illustrates how the requisite dissection arises naturally:

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