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Find the area of the missing piece of the polygon and explain your process for finding it:

Find the area of the missing piece of the polygon and explain your process for finding-example-1
User Liliya
by
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1 Answer

4 votes

Answer:

The area of the polygon is 42
cm^(2).

Explanation:

A polygon is a shape that has three or more sides. They are named with respect to the number of their sides. Example, an octagon has 8 sides, hexagon has 6 sides etc.

From the given figure, the area of the shaded polygon can be calculated by;

Area of polygon = Area of square - Sum of areas given

Sum of areas given = 24 + 30 + 48

= 102
cm^(2)

The four sides of the figure are equal, thus it is a square. The length of each side is 12 cm, so that:

Area of square = length × width

= 12 × 12

= 144
cm^(2)

Area of polygon = 144 - 102

= 42
cm^(2)

The area of the polygon is 42
cm^(2).

User Elias Rezer
by
7.3k points