Question

the perimeter of a rectangle is 30m and the ratio between length and breadth is 7:3 . find the area of the rectangle
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Answer 1

Answer:

area =47.25 $m^{2}$

Step-by-step explanation:

length be 7x

breadth be 3x

perimeter  = 2(length+breadth)

          30 =2(7x+3x)

          15 = 10x

          x = 1.5

length = 10.5m

breadth = 4.5m

area = length x breadth = 10.5 x 4.5 = 47.25 $m^{2}$

Answer 2

Answer:

let common ratio be x

length =7x

breadth =3x

perimeter is 2*(l+b)

According to sum,

2*(7x+3x)=30

2*10x=30

20x=30

x=30/20

=3/2

length is 21/2=10.5m

breadth is 9/2=4.5m

Area =l*b

(10.5*4.5)m²

=47.25m²