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PLS HELP!! find area of the shape round to the nearest tenth

PLS HELP Find Area Of The Shape Round To The Nearest Tenth class=

Sagot :

Given:

A regular pentagon with side 14 units and apothem 9.6 units.

To find:

The area round to the nearest tenth.

Solution:

Area of a regular polygon is:

[tex]A=\dfrac{1}{2}Pa[/tex]           ...(i)

Where, P is the perimeter and a is the apothem.

The given figure is a regular pentagon with five sides. So, the perimeter of the given figure is the product of number of sides and the side length.

[tex]P=5\times 14[/tex]

[tex]P=70[/tex]

Putting [tex]P=70,a=9.6[/tex], we get

[tex]A=\dfrac{1}{2}(70)(9.6)[/tex]

[tex]A=(35)(9.6)[/tex]

[tex]A=336[/tex]

Therefore, the area of the regular polygon is 336.0 square units.

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