Question

the sides of the rectangular field are in ratio 9:7and the perimeter is 144 meters find the sides

Answer 1

Given - ratio of side of a rectangle = 9:7
let , length = 9x and breadth = 7x
perimeter = 144m (given)

perimeter of a rectangle = 2 ( L + B )
144= 2 ( 9x + 7x)
144 / 2 = 16x
72 = 16x
72/16 = x
4.5 = x

so , L = 9x = 9× 4.5 = 40.5m
B = 7x = 7× 4.5 = 31.5m

Answer 2

» The sides of a triangle are in the ratio of 9:7

• Let length of rectangular field be 9M and breadth be 7M

• Perimeter of rectangle = 144 m

__________ [GIVEN]

• We have to find it's sides.

_______________________________

We know that..

$\boxed{Perimeter\:of\: rectangle\:=\:2(l\:+\:b)}$

• length (l) = 9M

• breadth (b) = 7M

• Perimeter of rectangle = 144 m

$\implies$ 144 = 2(9M + 7M)

$\implies$ 144 = 2(16M)

$\implies$ 144 = 32M

$\implies$ M = $\dfrac{144}{32}$

$\implies$ $\boxed{M\: =\: 4.5}$

______________________________

$\textbf{Length of rectangular field}$ = 9(M) = 9(4.5)

= $\textbf{40.5 m}$

and

$\textbf{Breadth of rectangular field}$ = 7M = 7(4.5)

= $\textbf{31.5 m}$

____________ $\bold{[ANSWER]}$

______________________________

✡ Perimeter = 2(l + b)

$\implies$ 144 = 2(40.5 + 31.5)

$\implies$ 144 = 2(72)

$\implies$ 144 = 144

___________ [HENCE VERIFIED]