Question

19. The length of a rectangular hallway is 3 times its breadth If the perimeter of the hallway is 48
area by calculating length and breadth.
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Answer 1

Step-by-step explanation:

Let the breadth be x

So, the length is 3x

Perimeter of rectangle=48

According to the question

$perimeter \: of \: rectangle = 2(l + b) \\ = > 48 m= 2(3x + x) \\ 48m = 2(4x) \\ 48m = 8x \\ x = 48 \div 6 \\ x = 6m$

therefore the breadth of rectangle is=6m

And length=3x=(3×6)m=18m

$area \: of \: rectangle = l \times b \\ = > (18 \times 6)m {}^{2} \\ = 108m {}^{2}$