Question

The area of rectangle is 12 square metres and its length is 3 times that of its breadth what is the perimeter of rectangle

Answer 1

hiii!!!

here's Ur answer...

given that the length of the rectangle is 3times that of it's breadth.

let the breadth of the rectangle be x.

therefore length of the rectangle is = 3x

area of the rectangle is given = 12m²

therefore l × b = 12m²

==> 3x × x = 12m²

==> 3x² = 12m²

==> x² = 12/3

==> x² = 4

==> x = √4

==> x = 2

hence, breadth of the rectangle = x = 2m

length of the rectangle = 3x = 3 × 2 = 6m

now, perimeter of the rectangle = 2 ( l + b )

= 2 ( 2 + 6 )

= 2 × 8

= 16m

hope this helps..!!

Answer 2

Let breadth be x m and length be 3x cm,


Given that area is 12 m²


Length × breadth = 12

x × (3x) = 12

3x² = 12

x² = 12÷3

x = ±√4

x = 2 [ taking +ve value]



××××××××××××××××××××

Breadth = x = 2 cm
Length = 3x = 3(2) = 6



$perimeter \: = 2(length + breadth) \\ \\ here \\ \\ \\ perimeter \: = 2(2 + 6) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2(8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 16 \: m$



I hope this will help you




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