Question

The length and breadth of a rectangular plot are
in the ratio 9:5. If its perimeter is 280 m, find its
area.​

Answer 1

$\large\sf\underline{✰\:Question}$

The length and breadth of a rectangular plot are in the ratio 9:5. If its perimeter is 280 m, find its area.

$\large\sf\underline{✰\:Given}$

• ratio of length and breadth = 9 : 5

• Perimeter = 280 m

$\large\sf\underline{✰\:Solution}$

$\sf⇨\:Let\:the\:length\:be\:9x$

$\sf⇨\:Let\:the\:breadth\:be\:5x$

We know,

$\sf➪\:perimeter = 2 ( l + b )$

$\sf➪\: 2 ( l + b ) = 280$

$\sf➪\: 2 ( 9x + 5x ) = 280$

$\sf➪\: 2 ( 14x ) = 280$

$\sf➪\: 28x = 280$

$\sf➪\: x = \frac{280}{28}$

$\sf➪\:x=10 m$

$\large\fbox\red{↬So\:l = 9x = 9 x 10 = 90m}$

$\large\fbox\red{↬So\:b= 5x = 5 x 10 = 50m}$

$\boxed{\red{Area\: of\: rectangular\:plot= l \times b}}$

$\sf➪\:l \times b$

$\sf➪\:90m \times 50m$

$\sf➪\:4800 \:sq m$

• Thnku ❣