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VladimirAG [237]
3 years ago
14

Calculate the area of the regular pentagon below:

Mathematics
2 answers:
anyanavicka [17]3 years ago
4 0
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       
kvasek [131]3 years ago
4 0
Your pentagon can be decomposed in 10 triangles (see the attached picture). Each triangle has an area \frac{17.6*12.1}4. Hence the total area is 10*\frac{17.6*12.1}4=\boxed{532.4\text{ in}}


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Answer:

Keisha =$25

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Step-by-step explanation:

Let the amount each have be represented by A, B and C

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That’s

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Substitute 6+B for A and 3B for C in the first equation.

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B = 19

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Also, Ryan C has 3 times what Scott B has .

That’s

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C = 3 x 19

C = $57

Therefore, Keisha has $25, Scott has $19 and Ryan has $57

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