Question

the length of a rectangle is a three time of its breadth if the area of the rectangle is 432 CM square then find the perimeter​

Answer 1

Answer:

96 centimeters.

Step-by-step explanation:

Let the breadth of the rectangle be n.

Length = 3n

Area of the given rectangle = 432 cm²

Area = length x breadth

432=3n x n

432=3 x n x n

432/3=n²

n²=144

n=√144

n=12 cm.

Breadth = 12 cm

Length=3 x 12 = 36 cm

Perimeter of a rectangle = 2(l+b)

=2(36+12)

=2 x 48

=96 cm.

Answer 2

$let \: the \: breadth \: of \: the \: rectangle \: be \: x \\ then \: length \: is \: 3x \\ given \: area \: of \: triangle \: = \: 432 \: {cm}^{2} \\ to \: find = \: its \: perimeter \\ sol.. \\ \\ we \: know \\ area \: of \: triangle \: = \: l \times \: b \\ = > 432 = x \times 3x \\ = > 432 = 3 {x}^{2} \\ = > {x}^{2} = 432 \div 2 \\ = > {x}^{2} = 144 \\ = > x = 12 \\ \\ breadth = 12 cm\\ therefore \: \\ length = 3 \times 12 = 36cm \\ now \: perimeter = 2(l + b) \\ = 2(36 + 12) \\ = 2 \times 48 \\ = 96cm$

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