Construct a rectangle a b c d where ab 5.7 cm and bc 4.2

To construct a rectangle abcd with ab = 5.7 cm and bc = 4.2 cm, follow these steps:

1. Draw the base: Use a ruler to draw a line segment ab that is 5.7 cm long.

2. Construct perpendiculars: At point a, use a protractor or compass to construct a line perpendicular to ab. Do the same at point b. These lines will form the sides ad and bc.

3. Mark the height: On the perpendicular line at a, measure and mark a point d such that ad is 4.2 cm. On the perpendicular line at b, measure and mark a point c such that bc is 4.2 cm.

4. Complete the rectangle: Connect points c and d with a straight line. This line segment cd should also be 5.7 cm long, and it should be parallel to ab.

You have now constructed rectangle abcd with the specified dimensions.