Question 1128542
----
----
The volume of a rectangular solid is given by the formula V = lwh, where l is the length, w is the width, and h is the height. 

The volume of a rectangular solid is 150 cubic centimeters. Its height is 3 centimeters, and its width is 5 centimeters shorter than its length. 

Find the sum of its length and width. 
----
----


The formula with slightly different choice for the variables:
{{{v=Lwh}}}



{{{v=150}}}
{{{h=3}}}
{{{w=L-5}}}
{{{L=w+5}}}


{{{150=L*(L-5)*3}}}

-

{{{150=3(L^2-5L)}}}

{{{50=L^2-5L}}}

{{{L^2-5L-50=0}}}

{{{(L+5)(L-10)=0}}}


{{{L=10}}}------------{{{w=10-5=5}}}


Sum of length and width:
{{{L+w}}}
{{{10+5}}}
{{{highlight(15)}}}