Question

the sides of rectangular field are in the ratio of 5 ratio 9 if the length of fencing 5600 metre find the sides of field and area of field ​

Answer 1

perimeter=2(5x+9x)

=28x=5600m

=x=5600/28=200m

first side=5*200=1000m

second side=9*200=1800m

area=lb=1000*1800=1800000m^2

pls mark the brainliest

Answer 2

$\textbf{\underline{\underline{Answer :-}}}$

The area of the Rectangle is 18,00,000 sq.m

$\textbf{\underline{\underline{Explanation :-}}}$

$\textsf{\underline{\underline{Given :}}}$

Ratio of the sides = 5 : 9

Length of Fencing = 5600 m

$\textsf{\underline{\underline{To find :}}}$

The measure of sides and it's area.

$\textsf{\underline{\underline{Solution : }}}$

Consider the Breadth as 5x

Consider the Length as 9x

The length of Fencing is actually the measure of the Perimeter.

Perimeter of Rectangle =

$\boxed{\sf{2(Length+Breadth)}}$

$\sf{\implies} \:2(5x + 9x) = 5600 \\\sf{\implies} \:10x + 18x = 5600 \\ \sf{\implies} \:28x = 5600 \\ \sf{\implies} \:x = \frac{5600}{28} \\\sf{\implies} \:x = 200$

Value of 5x

$\implies$ 5 × 200

$\implies$ 1000

Value of 9x

$\implies$ 9 × 200

$\implies$ 1800

Breadth = 1000 m

Length = 1800 m

$\rule{300}{1}$

Area of the Rectangle :

$\boxed{\sf{Length \times Breadth}}$

$\sf{\implies} \: 1000 \times 1800 \\ \sf{\implies} \: 1800000$

$\therefore$ The area of the Rectangle is 18,00,000 sq.m