The length of a rectangle is 5 more than 3 times its width. Find the length and width of the rectangle with an area of 182 square units.PLEASE EXPLAIN.

Question
Answer:
Let
x------------> the length of rectangle
y-----------> the width of rectangle
A----------> area of rectangle

we know that
A= 182 units²
A=x*y  ------------> x*y=182 --------> equation 1
and
the length of a rectangle is 5 more than 3 times its width
then
x=5+3*y-------------> equation 2
substitute 2 in 1
(5+3y)*y=182--------> 5y+3y²=182------------> 3y²+5y-182=0

using a graph tool------------> I solve the quadratic equation
see the attached figure
the solution is 
y=7
x*y=182-----------> x=182/7----------> x=26

the answer is
 the length of rectangle is 26 units
the width of rectangle is 7 units



solved
general 10 months ago 1691