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Example 6: Construct a square of 8 cm. Make 12 squares each of 2 cm inside

the bigger square leaving a 4 cm × 4 cm area as shown here. Shade the upper
half of the triangle so formed as shown.

Solution:

Step 1: Using a ruler, draw a line segment AB = Step 2: On the lines AB, BC, CD, and DA, mark
8 cm. Using a protractor draw perpendicular points at distances of 2 cm each using a ruler.
lines at A and B such that AD = 8 cm and BC = Draw horizontal lines and vertical lines to get
8 cm. Join C and D. 16 squares each of side length 2 cm
D C D C

8 cm 8 cm 8 cm

2 cm
A 8 cm B A 8 cm B
Step 3: From corner A, erase the inner sides Step 4: In the 12 small squares, shade the
of four squares to get a square of side 4 cm. upper half of the triangle so formed above the
Draw parallel diagonals in the remaining 12 diagonals to get the required image.
small squares.
D C

8 cm

2 cm
A 4 cm B

maths fun
Square with a Hole
• Place your paper down on a plane. Fold it up the way, down the way or from one side to the other.
• Use your hands to fold the paper in half, lining the edges and corners up neatly. Hold the fold gently in
place with one hand and use a finger on your other hand to press down and along the crease.

• Draw half a circle that starts and ends on the folded side of the paper.
• Put your open scissors on your line and move the paper with your other hand as you
cut.
• Open the paper to get a circular hole.
Try to draw 4 circular holes inside it.

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