Question

Draw seg LM and on it draw a square LMNP.

Answer 1

Steps of construction :

(1) Draw a line segment LM of any length.
(2) At L, draw $\angle XLM$ = 90° and at M, draw $\angle YML$ = 90° (since each angle in a square is of 90°)
(3) Taking L as centre, draw an arc of radius equal to LM, which intersects XL at P.
(4) Taking M as centre, draw an arc of radius equal to LM, which intersects YM at N.
(5) Join P and N.
The required square LMNP is thus drawn.