Question

The perimeter of a rectangular room is 160m.Their length and breadth is in the ratio 5: 3.

What is the area of the room?​

Answer 1

Lenght = 50 m

Breadth= 30 m

Answer 2

Answer:

Let the length and breadth be 5x and 3x respectively.

Perimeter = 2(l + b)

160m = 2(5x + 3x)

160m = 2(8x)

160m = 16x

$\frac{160}{16} \: = x$

x = 10

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l = 5x = 5(10) = 50m

b = 3x = 3(10) = 30m

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Area of rectangle = l × b

= 50 × 30

= 1500m²