Page 311 - Math Smart - 7

Use your ruler to draw the last side of
Use the construction marks to draw
4 another two sides of the rectangle. the rectangle by joining the ends of
the other two sides of the rectangle
Each side should be 40 mm long.
you have just drawn. The last side of
the rectangle should be 60 mm long.

Label the square PQRS. J L
Write down the measurements as shown.
Draw squares to show that the angles 40 mm
of the rectangle are right angles.
c ~l r
60 mm
Example 4

Construct a rectangle ABCD such that yAfi = 6 cm and BC-3 cm.
Draw a sketch to help you.
Solution
Draw a line y4S = 6 cm. ^ J L
6 cm
3 cm
n r
Using a protractor, draw 6 cm
7- a line perpendicular to
line AB from point A and
from point B.
6 cm

Widen the arms of
5 a compass to 3 cm and ^ arc 3 cm from A and point B. t.
tighten the hinge to Label the points where the
3 cm
lock the arms. arcs cut the perpendicular
lines D and C respectively.
n r
Draw the line DC to complete 6 cm
the rectangle ABCD. Draw
squares to show that the
angles of the rectangle are
right angles.
Check My
Understanding

O Construct a rectangle with side lengths of 3.6 cm and 4.5 cm using a protractor.
Q Use a set square to construct a rectangle with side lengths of 11 cm and 5.2 cm.
0 Construct a rectangle ABCD such that >46 = 8 cm and AD = 6 cm. Draw the diagonal AC
and measure its length.
Q*Challenge! Construct a rectangle whose diagonals are 5 cm long.