If the ratio of length to breadth of a rectangle is 5:3 and its perime

1.	If the ratio of length to breadth of a rectangle is 5:3 and its perimeter is 144m . Find the length and breadth of rectangle
Answer» Given : Ratio of length to breadth of a RECTANGLE is 5:3. Perimeter of Rectangle = 144m To Find : Length and Breadth of Rectangle. Solution : $\longmapsto\tt{Let\:Length\:be=5x}$ $\longmapsto\tt{Let\:Breadth\:be=3x}$ $\longmapsto\tt{Perimeter=144m}$ Using Formula : $\longmapsto\tt\boxed{Perimeter\:of\:Rectangle=2(l+b)}$ Putting Values : $\longmapsto\tt{144=2(5x+3x)}$ $\longmapsto\tt{\cancel\dfrac{144}{2}=5x+3x}$ $\longmapsto\tt{72=8x}$ $\longmapsto\tt{x=\cancel\dfrac{72}{8}}$ $\longmapsto\tt\bold{x=9}$ So , The value of x is 9.. Therefore : $\longmapsto\tt{Length=5(9)}$ $\longmapsto\tt\bold{45m}$ $\longmapsto\tt{Breadth=3(9)}$ $\longmapsto\tt\bold{27m}$ _______________________ VERIFICATION : $\longmapsto\tt{144=2(l+b)}$ $\longmapsto\tt{144=2(45+27)}$ $\longmapsto\tt{144=2(72)}$ $\longmapsto\tt\bold{144=144}$ HENCE VERIFIED