Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
Here as the Pentagon is regular so it's all sides will be of equal length . And if we assume It's each side be s , then it's perimeter is going to be (s+s+s+s+s) = 5s.And as here , each side is increased by 8 inches and then it's perimeter is 65 inches , so we got that it's side after increament is (s+8) inches and original length is s inches . And if it's each side is (s+8) inches , so it's perimeter will be 5(s+8) and as it's equal to 65 inches . So , 5(s+8) = 65
[tex]{:\implies \quad \sf 5(s+8)=65}[/tex]
[tex]{:\implies \quad \sf 5s+5\times 8=65}[/tex]
[tex]{:\implies \quad \sf 5s+40=65}[/tex]
[tex]{:\implies \quad \sf 5s=65-40}[/tex]
[tex]{:\implies \quad \sf 5s=25}[/tex]
[tex]{:\implies \quad \sf s=\dfrac{25}{5}=5}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{s=5\:\: Inches}}}[/tex]
As we assumed the original side to be s .
Hence, the original side's length 5 inches
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.