Question

The width of a rectangle is half the length. the perimeter of the rectangle is 54 in. what is the length of the rectangle?

Answer 1

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Answer 2

$\huge\mathbb{SOLUTION:-}$

$\sf\bullet breadth\:of\: rectangle= y\\ \\ \sf\bullet length=2y\\ \\ \sf\bullet perimeter=54$

We have to find the length and width of rectangle

$\underline{\bigstar{\sf{Perimeter \:of\: rectangle=2(l+b)}}}$

$\sf\implies 54=2(2y+y)\\ \\ \sf\implies 54=2\times 3y\\ \\ \sf\implies 54=6y\\ \\ \sf\implies y=\cancel{\dfrac{54}{6}}\\ \\ \sf\implies y=9$

$\sf\bullet Breadth=9unit\\ \\ \sf\bullet lengths=2y= 2\times 9\\ \\ \sf\implies length=18unit$