Page 194 - Math Genius C4

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\\September 30, 2025 9:51 AM Bharat Arora P-9 Reader _________________________ Date: ___________________74

Now, let us find the area of the figure given
Think Tank Logical Thinking
below.
1. How many rectangles can
you draw with 15 unit squares?
2. State whether the following
statements are true or false.
(a) Two same shapes always have the
same area.
(b) Doubling both the length and the
width of a rectangle doubles its
area.
(c) If two rectangles have equal areas,
Here, the triangle does not contain only they must have equal perimeters.

complete squares. It has 6 complete squares
and 4 half squares.

1
2
1 1
2 1
2 3 1 1 1
2 2 3 2 2
4 5 6 1 1 1
2 4 5 6 2 2

6 + 1 + 1
Number of complete squares = 6 + 2

So, the area of the triangle is 8 square units.

example 2: Find the area of the following figure drawn on a square grid. Take the
side of a unit square as 1 unit.

1 1
2 2
Solution: Here, number of complete squares = 10 1 1
2 2
Number of half squares = 4

2 half squares make a complete square. 4 half squares = 2 squares

Thus, the area of the figure = 10 + 2 = 12 square units (sq. units)

192 Mathematics-4