Question

The sides of a triangular plot are in the ratio 3 : 5 : 7 and its perimeter is 300m . its sides are​

Answer 1

The sides are:
60
100
140

Answer 2

${\huge{\sf{\underbrace{\underline{Question:-}}}}}$

Q) The sides os a triangular plot are in the ratio 3:5:7 and it's perimeter is 300m . Find the sides of the plot.

${\sf{\huge{\underbrace{\underline{Answer\;\checkmark}}}}}$

$\bf{Given}\begin{cases}\rm{Ratio\:of\:sides=\bf{3:5:7.}}\\ \rm{Perimeter=\bf{300\:m.}}\end{cases}$

${\underline{\bf{To\;Find}}}→\rm{Sides}$

★ Solution :

Let the ratios be 3x , 5x & 7x .

It means :

• First Side = 3x
• Second Side = 5x
• Third Side = 7x

We know,

$\pink \star \: \: \boxed{ \sf{perimeter _{triangle} = sum \: of \: all \: sides}}$

So,

$\sf \colon \rightarrow \: perimeter _{plot} = first \: side + second \: side + third \: side \\ \\ \sf\colon \implies \: 300 \: m = 3x + 5x + 7x \\ \\ \sf \colon \implies \: \cancel{300} \: m = \cancel{15} \: x \\ \\ \colon \sf \implies \underline{ \boxed{ \bf{x = \purple{20 \: m}}}}$

So,

$\rightarrow \sf \: first \: side \: = 3x = 3 \times 20 \: m \\ \\ \leadsto \underline{ \boxed{ \bf{first \: side = \pink{60 \: m}}}}$

$\rightarrow \sf \: second \: side = 5x = 5 \times 20 \: m \\ \\ \leadsto \underline{ \boxed{ \bf{second \: side = { \blue{100 \: m}}}}}$

$\rightarrow \sf \: third \: side = 7x = 7 \times 20 \: m \\ \\ \leadsto \underline{ \boxed{ \bf{ third \: side = \purple{140 \: m}}}}$

So,

# Sides => 60m , 100m & 140m

____________________________