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gulaghasi [49]
3 years ago
9

the area of a rectangle is 45 x^8 x^9 square yards. And the length is of the rectangle is 5 x^3 x^4 yards. Which expression repr

esent the width of the rectangle in yards
Mathematics
1 answer:
swat323 years ago
5 0

Answer:

width \: of \: the \: rectangle \\  =  \frac{area \: of \: rectangle}{length \: of \: rectangle}  \\  \\  =  \frac{45 {x}^{8} \times  {x}^{9}  }{5 {x}^{3} \times  {x}^{4} } \\  \\  =  \frac{45 {x}^{8 + 9} }{5 {x}^{3 + 4} }  \\   \\ =  \frac{45 {x}^{17} }{5 {x}^{7} }  \\   \\ =  9 {x}^{17 - 7}  \\ \\  =  9 {x}^{10}  \: yards \\  \\  \therefore \: width \: of \: the \: rectangle  \\  \:  \:  \:  \:  \:  \: = 9 {x}^{10}  \: yards  \\

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