Question

the length of a field is 3 times it's breadth . if it's perimeter is 400 meter find its area​

Answer 1

$\large\underline\purple{\bold{Solution :- }}$

☆ Let breadth of rectangle be 'x' meter.

☆ So, length of rectangle is '3x' meter.

$\begin{gathered}\bf\red{According \: to \: statement}\end{gathered}$

☆ Perimeter of rectangle = 400 meter

$\tt\implies \:2(length \: + \: breadth) = 400$

$\tt\implies \:2(3x + x) = 4 00$

$\tt\implies \:2 \times 4x = 400$

$\tt\implies \:8x = 400$

$\tt\implies \:x = 50$

$\begin{gathered}\begin{gathered}\bf Hence -  \begin{cases} &\sf{length \: = 3x = 3 \times 50 = 150 \: m} \\ &\sf{breadth \: = x = 50 \: m} \end{cases}\end{gathered}\end{gathered}$

$\tt\implies \:Area \: of \: rectangle \: = length \times breadth$

$\tt\implies \:Area \: of \: rectangle \: = 150 \times 50$

$\tt\implies \:Area \: of \: rectangle \: = 7500 \: {m}^{2}$

Answer 2

Answer:

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