SOLUTION: Solve using quadratic equations 1) the ratio of the length and breadth of a rectangular photo is 3:2. Given that the area of the rectangle is 864cm^2, find its length. 2) fen

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Solve using quadratic equations 1) the ratio of the length and breadth of a rectangular photo is 3:2. Given that the area of the rectangle is 864cm^2, find its length. 2) fen      Log On


   

Question 938041: Solve using quadratic equations
1) the ratio of the length and breadth of a rectangular photo is 3:2. Given that the area of the rectangle is 864cm^2, find its length.
2) fencing of length 40m is used to enclose a rectangular pen, where one of the sides is a straight wall. The area enclosed by the pen is 192m^2. Find the length of a side of the pen which is perpendicular to the wall.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
#2:

x and y, the dimensions of the rectangular area.
2x%2By=40 for the fence length.
xy=192, and x is the length perpendicular to the wall.
Two equations in two unknowns resulting in quadratic equation; simple problem and solution.


#1:

Factor for both dimensions, x.
%283x%29%282x%29=864
6x%5E2=864
x%5E2=144
x=12, allowing you to evaluate the dimensions.