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:
Letx------------> 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
11 months ago
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