Question

A square with an area of 1 square meter is decomposed into 9 identical small squares. Each small square is decomposed into two identical triangles. How many triangles are needed to compose a region that is 1 1/2 square meters?

Answer 1

Answer:

Step-by-step explanation:

A square is given with an area of 1 square meter.

Area of square =

1 =

s = 1 m

Now, this square is decomposed into 9 identical small squares.

Square with area of 1 square meter = 9  area of small squares

1 = 9

x =

So, side of smaller square is  meter.

Now, square is decomposed into two triangles.

Area of one triangle =

=

=  square meter

Now, Area of 6 triangles =

=  square meter.

Number of triangles needed to compose a region that is 1.5 square meters

=

= 1.5

= 27 triangles.

Therefore, 27 triangles are needed to compose a region that is 1.5 square meters.

Answer 2

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