Answer:
length = 21 in , width = 14 in
Explanation:
the ratio of length : width = 3 : 2 = 3x : 2x ( x is a multiplier )
the area (A) of a rectangle is calculated as
A = length × width
given A = 194 , then
3x × 2x = 194
6x² = 194 ( divide both sides by 6 )
x² = 49 ( take square root of both sides )
x =
= 7
then
length = 3x = 3 × 7 = 21 in
width = 2x = 2 × 7 = 14 in