SOLUTION: Find the length of a rectangle which is three time as much as its width and requires 1200 of 6 cm. square tiles for paving the area.

Algebra ->  Rectangles -> SOLUTION: Find the length of a rectangle which is three time as much as its width and requires 1200 of 6 cm. square tiles for paving the area.      Log On


   



Question 961091: Find the length of a rectangle which is three time as much as its width and requires 1200 of 6 cm. square tiles
for paving the area.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

let the length of a rectangle be L and the width W
if the length is three time as much as its width, then we have
L=3W....eq.1

if requires 1200 of 6cm square tiles (36cm%5E2 is the area of each tile) for paving the area, then the area to cover is 1200%2A36cm%5E2=43200cm%5E2 and that area should be equal to area of the rectangle
A=L%2AW
43200cm%5E2=3W%2AW
14400cm%5E2=W%5E2
sqrt%2814400cm%5E2%29=W
W=120cm
L=3W....eq.1
L=3%2A120cm
highlight%28L=360cm%29