Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

76 cm a 52 cm Find the area of the regular pentagon (the answer has one digit after the decimal point)​

76 Cm A 52 Cm Find The Area Of The Regular Pentagon The Answer Has One Digit After The Decimal Point class=

Sagot :

theleangreenbean

Answer:

98.8 cm²

Step-by-step explanation:

Hi there!

[tex]A=\frac{1}{2} Pa[/tex] where P is the perimeter of the pentagon and a is the apothem (the line going from the center of the pentagon one edge)

1) Find the perimeter

[tex]P=5l[/tex] where l is the side length

Plug in the side length 7.6 cm

[tex]P=5(7.6)\\P=38[/tex]

Therefore, the perimeter of the pentagon is 38 cm.

2) Find the area

[tex]A=\frac{1}{2} Pa[/tex]

Plug in the perimeter (38) and the apothem (5.2)

[tex]A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (197.6)\\A=98.8[/tex]

Therefore, the area of the pentagon is 98.8 cm².

I hope this helps!

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.