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What is a pentagon - Mathsoft StudyWorks! Middle School Deluxe Math 5.0 (11543) for PC

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Regular pentagon QRSTU has a side length of 12 cm and an area of about 248 square cm. Regular pentagon VWXYZ has a perimeter of 140 cm. Find the area of VWXYZ. Round to the nearest tenth.


Find the scaling ratio
Perimeter of first pentagon is 12*5=60 cm
Scale factor (2nd/first)=140/60 =7/3
Ratio of areas varies as the square of the scale factor for the lengths
Area of second / area of first =(7/3)^2 =49/9
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Regular pentagon QRSTU has a side length of 12 cm and an area of about 248 square cm. Regular pentagon VWXYZ has a perimeter of 140 cm. Find the area of VWXYZ. Round to the nearest tenth.


The two pentagons are similar. If k is the scale factor for the lengths, the ratio of the areas is k^2.
Pent 1 side =12 cm
Pent 2 side =140/5 =28 cm
Scale factor (larger over smaller) is k=28/12=7/3
Area of Pent_2= (49/9)*Area of Pent_1
Your answer should be C.

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http://www.realtek.com.tw/Downloads/downloadsCheck.aspx?Langid=1&PNid=23&PFid=23&Level=4&Conn=3&DownTypeID=3&GetDown=false


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