Question

the ratio of sides of rectangular is 5:3,its perimeter is 96 cm,find the area of rectangular​

Answer 1

Step-by-step explanation:

$let \: 5x \: and \: 3x \: be \: the \: sides \: of \: the \: rectangular. \\ perimeter = 2(5x + 3x) \\ \: \: \: \: \: \: \: \: 96 = 16x \\ \: \: \: \: \: \: \: \: \: \: x = 6 \\ hence \: sides \: are \: 30cm \: and \: 18cm \\ area \: of \: rectngular = l \times b \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 30 \times 18 {cm}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 540 {cm}^{2} \\ \\ hope \: it \: will \: help \: you.$

Answer 2

Answer:

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Step-by-step explanation:

Let the sides be 5x and 3x

so, Perimeter = 2(l+b)

96 = 2(5x + 3x)

96 = 2×8x

96 = 16x

x = 96÷16

x = 6

Now; Length= 5x = 5×6=30cm

Breadth= 3x = 3×6=18cm

Area = l×b

Area = 30×18

Area = 540sq.cm

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