1) A sheet of paper square shape is folded into two equal parts so as to form the sea two overlapping rectangles. Knowing that the perimeter of the rectangle is 12 cm, what is the
area of the original square ?
A. 9cm2
B. 36 cm2
C. 24 cm2
D. 72 cm2
E. 16 cm2

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.