Question

the ratio of length and breadth of a rectangle is 7:5 the perimeter of the rectangle is 72m what is the area of the rectangle

Answer 1

Answer:

$\red { Area \:of \: the \: rectangle }= \green {315 \:m^{2}}$

Step-by-step explanation:

$Ratio \: of \:length \:and \:breadth\\of\: a \: rectangle = 7:5$

$Let\: length (l) = 7x, \\breadth (b) = 5x$

$Perimeter \:of \: the \: rectangle (P) = 72\:m$

$\implies \blue {2(l+b)} = 72$

$\implies 2(7x+5x) = 72$

$\implies 2\times 12x = 72$

$\implies 24x = 72$

$\implies x = \frac{72}{24}$

$\implies x = 3$

$Now, Length (l) = 7x = 7\times 3 = 21\:m\\breadth(b) = 5x = 5 \times 3 = 15 \:m$

$Area \: of \: the \: rectangle (A) = \blue {l \times b }\\=21 \:m \times 15\:m \\= 315\:m^{2}$

Therefore.,

$\red { Area \:of \: the \: rectangle }= \green {315 \:m^{2}}$

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