Question

Construct a rectangle whose sides are 4.2 cm. and 2.5 cm. Measure its diagonal lengths.

Answer 1

Draw a rough sketch of given measurements :

Steps of Construction

1. First of all, we draw a line segment AB = 4.2 cm.
2. Construct ∠BAX = 90° at point A with AB with the help of a pencil and compass. An arc of 2.5 cm. cut from AX. Put D at the cut point.
3. Similarly, we construct ∠ABX = 90° with AB at point B and arc of 2.5 cm cut a point C from BY.
4. Join CD.

Thus, we get required ABCD

Measures of AC and BD = 4.9 cm.