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

Question

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:

swat32 · Answer 1 · 2022-03-08T05:02:47+03:00

swat323 years ago

5 0

Answer:

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