1.

the ratio of length and breadth of a rectangle is 3:1 ,and it's perimeter is 36 cm . find the length and breadth of rectangle​

Answer»

SoluTion :-

Ratio = 3:1

Perimeter = 36 CM

Length = 3x

Breadth = 1x

\boxed {\sf {\because \ Perimeter \ of \ a \ rectangle =2(l+<klux>B</klux>)}}\\\\\\\sf {\therefore \ 36 \ cm = 2 (3x + 1x)}

\sf {\Rightarrow 36 \ cm = 6x + 2x}\\\\\\\sf {\Rightarrow 36 \ cm = 8x}\\\\\\\sf {\Rightarrow x=\frac{36}{8}}\\\\\\\sf {\Rightarrow x = 4.5\ cm}

Breadth = 1 × 4.5 = 4.5 cm

Length = 3 × 4.5 = 13.5 cm

Verification :-

36 cm = 2 (l + b) cm

36 cm = 2 (4.5 + 13.5) cm

36 cm = 2 (18) cm

36 cm = 36 cm


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