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andre [41]
3 years ago
10

If a = 2 cm and r = 3.4 cm, find the area of the regular pentagon.

Mathematics
1 answer:
cricket20 [7]3 years ago
3 0

Answer:

Area = 3.4\ cm^{2}

Step-by-step explanation:

Assume a pentagon has equal length where a be the side of the pentagon and r be the apothem of the pentagon.

Given:

Sides of pentagon a=2\ cm

apothem of pentagon r=3.4\ cm

The area of the pentagon formula is given below.

A = \frac{1}{2}\times bh

Where b = length of the base or side

And h = height of apothem

Now, we substitute side and apothem length in above formula.

A = \frac{1}{2}\times 2\times 3.4

A = 3.4\ cm^{2}

Therefore, the area of the pentagon is 3.4\ cm^{2}

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Equation with vertex at (-9, -3) is y = a(x + 9)^2 - 3 = a(x^2 + 18x + 81) - 3 = ax^2 + 18ax + 81a - 3 . . . . . . . . (2)
From (1) and (2), we have
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