Question

A rectangle with sides 4 cm and 6 cm. How many such rectangles are possible?​

Answer 1

Answer:

First we draw a rough sketch of rectangle ABCD. Write down its dimension in rough figure.

We know that opposite sides of rectangle are equal and each angle is 90°. Steps of Construction

(i) First draw a line segment AB = 6 cm

(ii) Draw a ray AX with pencil and compass such that ∠BAX = 90°. Draw an arc of 4 cm with point A which intersects AX at D.

(iii) Similarly, draw ray BY such that ∠ABY = 90°. Draw an arc of 4 cm with point B which intersects BY at C.

(iv) Join CD. Thus ABCD is the required rectangle.

Answer 2

Answer:

1 rectangle is possible