construct a rectangle whose adjacent sides are 2.5 cm and 5cm respectively . construct a square having equal area to given rectangle. please answer quick .
We know that, each angle of a rectangle is right angle (i.e., 90°) and its opposite sides are equal and parallel.
Alternate Method
To construct a rectangle ABCD whose adjacent sides are of lengths 5 cm and 3.5 cm, use the following steps
1.Draw a line segment SC of length 5 cm.
2.Now, draw an ∠XBC = 90° at point B of line segment SC.
3.Cut a line segment AB = 3.5 cm from the ray BX and join AC.
4.Now, from A, point D is at a distance of 5 cm. So, having A as centre draw an arc of radius 5 cm.
5.From C, point D is at a distance of 3.5 cm. So, having C as centre draw an arc of radius 3.5 cm which intersect previous arc (obtained in step iv) at D.
6.Join AD and CD.
Thus, ABCD is the required rectangle with adjacent sides of length 5 cm and 3.5 cm.
Answers & Comments
We know that, each angle of a rectangle is right angle (i.e., 90°) and its opposite sides are equal and parallel.
Alternate Method
To construct a rectangle ABCD whose adjacent sides are of lengths 5 cm and 3.5 cm, use the following steps
1.Draw a line segment SC of length 5 cm.
2.Now, draw an ∠XBC = 90° at point B of line segment SC.
3.Cut a line segment AB = 3.5 cm from the ray BX and join AC.
4.Now, from A, point D is at a distance of 5 cm. So, having A as centre draw an arc of radius 5 cm.
5.From C, point D is at a distance of 3.5 cm. So, having C as centre draw an arc of radius 3.5 cm which intersect previous arc (obtained in step iv) at D.
6.Join AD and CD.
Thus, ABCD is the required rectangle with adjacent sides of length 5 cm and 3.5 cm.