A wire 370 in. long is cut into two pieces. One piece is formed into a...

A wire 370 in. long is cut into two pieces. One piece is formed into a square and the other into a circle. If the two figures have the same area, what are the lengths of the two pieces of wire (to the nearest tenth of an inch)?

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Expert Solution

given length - et une part other loart of the wire un 3 to in. in einen n. is 1370-a) inch, ??? ??? w part one is constructed into shinare of side a i perimeter of sq yare = length of wire of a first piece 4a -nail Perimeter of a - Spyare --4x sich el and piece is constructed into clocket of radius so l i i pesimets of circle - length of and Chor part-of- Wire 2tr - 370-2 370- 2

www A%, given that - Area of - 9 sy hare - Area of circler - 1 - XX (370-22 = x (370-ugr &xx => x 64 4 - 3.14 3.14x2 - 4x (370+ - 2x3702) a an 3147 - 4+ (136900 tr 7400) -> 3. 1442 = 547600 + 4 4 - 2gbon 422_3.14 42 – 2gbox + 547600 2 si 10.86 22 - 29 bout 5 47600 to is as like 4 quadratoratic equation que + brtcto 9 -0.86 b- - 2960, c-547bon D = √b2 - 4 ac

4x0.86 x 54 7oou 876)60- 188 37 4 4 6 8778 56 = 2622.567 --42960) + 2622.567 20:56 taking the sign, we yet 4- +2960 +2622.567. ol-ix nol brasible. UUUUUUUUUUU taking the sign, wegel- 2960 - 2622567 1.72 337.433 1.72 n - 196. 1819 inch nearest tenth ix ! 21 x 200 inch one paal is 200 shih al is wel Square. another part is (370-200) n.o 170 inch 3) is wel to collet - for

milcah answered 1 year ago

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