Question

Find the area of the rectangular field whose perimeter is 100m and the

ratio between the length and breadth is 2:3.​

Answer 1

Answer:

A rectangular field is 100 m by 80 m. 

A. Length to its breadth

So:

A Ratio of length to its breadth 

=100:80

=5:4 

B. Breadth to its perimeter 

b=80 m

Perimeter =l+b=2(100+80)=(180)2=360

b:p

=80:360

=2:9  

Answer 2

Answer:

Perimeter of rectangle =2(l+b)

$100 = 2(l + b) \\ 100= 2(2x + 3x) \\100 = 2(5x) \\ 100 = 10x \\ x = 10 \\ \\ length = 2x = 2(10) \\ = 20m \\ breadth = 3x = 3(10) \\ 30m$

$area \: of \: rectangle = l \times b \\ = 20 \times 30 \\ = 600m {}^{2}$