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.
Accepted Solution
A:
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