Question

a rectangular field has a perimeter of 480 and its breadth is 80 metre find its area​

Answer 1

ANSWER✔

$\large\underline\bold{GIVEN,}$

$\sf\dashrightarrow perimeter\:of\:a\:rectangle=480m$

$\sf\dashrightarrow breadth\:of\:a\:rectangle\:= 80m$

$\large\underline\bold{TO\:FIND,}$

$\sf\Large\dashrightarrow \:AREA\:OF\:RECTANGLE.$

✯FORMULA IN USE,

$\large{\boxed{\bf{ \star\:\: AREA\:OF\:RECTANGLE= LENGTH\times \:BREADTH\:\: \star}}}$

$\large\underline\bold{SOLUTION,}$

$\sf\large\therefore FINDING\:LENGTH\: OF\:A\: RECATANGLE,$

$\sf\therefore \text{let the value of length be x m}$

$\sf\therefore PERIMETER\:OF\:RECTANGLE= 2(LENGTH+ BREADTH)$

$\sf\implies480= 2( x+80)$

$\sf\implies \dfrac{480}{2} = x+80$

$\sf\implies \cancel\dfrac{480}{2} = x+80$

$\sf\implies 240= x+80$

$\sf\implies 240-80=x$

$\sf\implies 160=x$

$\large{\boxed{\bf{ \star\:\: length(x)= 160m:\: \star}}}$

NOW

FINDIND AREA OF RECTANGLE,

$\sf\therefore AREA\:OF\:RECTANGLE= LENGTH\times BREADTH.$

$\sf\implies 160 \times 80$

$\sf\implies 12800cm^2$

$\large{\boxed{\bf{ \star\:\: AREA\:OF\:RECTANGLE= 12800cm^2 \:\: \star}}}$

$\large\underline\bold{AREA\:OF\:RECTANGLE\:IS\: 12800cm^2}$

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