Question

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 represent the width of the rectangle in yards

Answer 1

`width \: of \: the \: rectangle \\ = (area \: of \: rectangle)/(length \: of \: rectangle) \\ \\ = \frac{45 {x}^(8) * {x}^(9) }{5 {x}^(3) * {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 \\`