Question

If the area of a rectangle is 16s^2t and the length is 8st^2, what would be the width of the rectangle, given that width is found by dividing area by length? Simplify the answer.

Answer 1

Area = Length x Width
Substituting the given values:
16S^2 t = 8St^2 x Width
Manipulating for Width:
Width = 16S^2 t / 8St^2
Rewriting the squared terms in simplified form :
Width = 16 x S x S x t / 8 x S x t x t
Cancelling the like terms
Width = 16 x S / 8 x t
Cancelling the numeric terms :

Modify the values.