Question

Width: X

Length: 3x
Determine the lengths of the
sides of the rectangle using the
given area. Give answers both
exactly and approximately (to
the nearest tenth).
The area of the rectangle is 45
cm squared.

Answer 1

`3x * x = 45 \\ {3x}^(2) = 45 \\ {x}^(2) = (45)/(3) \\ {x}^(2) = 15 \\ x = √(15) \\ x = 3.872983346 \\ x = 3.9`

Explanation:

area of a rectangle is width a length

area of length already given as 45cm²

find the unknown x using a normal equation