Calculate the area of the regular pentagon below:
a regular pentagon with side length of 17.6 inches and dotted line from center to middle of side of 12.1 inches.
106.48 square inches
366.025 square inches
451.78 square inches
532.4 square inches

Area of the regular pentagon is 532.40 SQUARE INCHES.

Finding the Area of a regular pentagon, use this formula:

A = 1/4 √5(5+2√5) a²

where:  a = side length.

A = 1/4 √5(5+2√5) (17.6in)²
A = 1/4 √5(5+2(2.24) 309.76 in² 
A = 1/4 √5(5+4.48) * 309.76 in²
A = 1/4 √5(9.48) *  309.76 in²
A = 1/4 √47.4 * 309.76 in²
A = 1/4 * 6.88 * 309.76 in²
A = (1*6.88*309.76in²)/4
A = 2131.15 / 4
A = 532.79 in²