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Q: In a regular pentagon whose area is 140 sq. in. and side is 8 in. the apothem length is?

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It is 665.1 sq inches.

665.1 square units.

Using trigonometry the regular 5 sided pentagon will consist of 5 congruent isosceles triangles each with 2 equal sides of 5.954555658 inches and 2 equal angles of 54 degrees including an apex angle of 72 degrees opposite to its base side of 7 inches whose apothem or height is 4.817336721 inches Area: 0.5*5.954555658^2 *sin(72)*5 = 84.30339262 square inches Area: 0.5*apothem*perimeter = 84.30339262 square inches

5 x 8.9...

Any polygon whose sides are equal in length, such as a square, is a regular polygon.

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It is 665.1 sq inches.

5x + 20

Area of a regular polygon equals to the one half of the product of its perimeter with the apothem. So we have: A = (1/2)(a)(P) Since our polygon has 10 sides each with length 1.2, the perimeter is 12 910 x 1.2). Substitute 12 for the perimeter, and 1.85 for the apothem in the area formula: A = (1/2)(a)(P) A = (1/2)(1.85)(12) A = 11.1 Thus, the area of the decagon is 11.1.

A pentagon has five sides- 5 * 12.5 = 62.5

hextogonImproved Answer:-A regular pentagon which has 5 sides

124

665.1 square units.

Using trigonometry the regular 5 sided pentagon will consist of 5 congruent isosceles triangles each with 2 equal sides of 5.954555658 inches and 2 equal angles of 54 degrees including an apex angle of 72 degrees opposite to its base side of 7 inches whose apothem or height is 4.817336721 inches Area: 0.5*5.954555658^2 *sin(72)*5 = 84.30339262 square inches Area: 0.5*apothem*perimeter = 84.30339262 square inches

5 x 8.9...

A regular polygon is a polygon whose sides are equal length and whose angles are all the same value. A non regular polygon is just the opposite of a regular polygon.

You get a regular triangle whose sides are double the length.

Any polygon whose sides are equal in length, such as a square, is a regular polygon.