Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1 2 start fraction, 1, divided by, 2, end fraction and labeled it Polygon DDD. What is the area of Polygon DDD?

Area of polygon D = 10 square units

Step-by-step explanation:

Given:

Polygon C has an area of 40 square units.

It is scaled with a scale factor of to form a new polygon D.

To find:

The area of polygon D = ?

Solution:

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

Area of a right angled triangle is given by:

If scaled with a factor , the sides will be 3, 4 and 5.

New area, A':

i.e. Area becomes one fourth.

Sides be 8 and 10 units.

Area of a rectangle, A = = 8 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 5 =20 sq units

So,

Now, we can apply the same in the given question.

Area of polygon D = Area of polygon C

Area of polygon D = 40 = 10 sq units

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