Question

The width of a rectangle is two-thirds its length. If the perimeter is 180 meters, find the dimensions of the rectangle

Answer 1

l=6.75 w= 2.25
I HP u understand

Answer 2

$\circ\circ\circ\circ\underline{\fbox{\fbox{\fbox{\fbox{\fbox{\Large{\underline{\textbf{SOLUTION}}}}}}}}}\circ\circ\circ\circ$

$Given,\\Perimeter=180\\\\Let\:the\:length\:of\:rectangle\:is=\:'x' \:m\\Breadth\:of\:rectangle\:is\:=\frac{2}{3}x\:m\\\\According\:to\:the\:question,\\\\\\Perimeter=180\\\\\implies2\:(l+b)=180\:m\\\\\implies2\bigg(x+\frac{2}{3}x\bigg)=180\:m\\\\\implies\frac{5x}{3}=\frac{180}{2}\\\\\implies\frac{5x}{3}=90\\\\\implies5x=90\times3\\\\\implies x=\frac{90\times3}{5}\\\\\implies x=54\\\\\\\therefore\:Length\:of\:rectangle\:is\:=54$

$\\\\And\:breadth\:of\:rectangle\:is\:=\frac{2}{3}x\\\\=\frac{2}{3}\times54\\\\=36\\\\\boxed{\boxed{Length=54\:and\:Breadth=36\:answer}}$