(i) Given that perimeter of a square = 20 cm.
∴ side of a square = Perimeter/4 = 20/4 = 5 cm.
We draw a square whose side = 5 cm.
We know that each angle of a square = 90°
Steps of Construction
(1) First of all draw a line segment AB = 5 cm.
(2) At the point A and B, construct ∠BAX = 90° and ∠ABY = 90° respectively with AB.
(3) From ray AX cuts AD = 5 cm. and from ray by cuts BC = 5 cm.
(4) Join CD.
Thus, we obtained required square ABCD.
(ii) Draw a rough sketch of square of given measurements.
Given that
Sum of two adjacent sides = 9 cm.
So each side of square = 9/2 = 4.5 cm.
Steps of Construction
(1) First of all we draw a line segment AB = 4.5 cm.
(2) At the point A and B we construct ∠BAX = 90° and ∠ABY = 90° with AB respectively.
(3) Similarly from point B, an angle of 90° in made and arc of 4.5 cm is cut. Here, mark this point as C.
(4) Join C and D.
Thus, we obtained a square ABCD.
