Question

The length of a rectangle is 3 times its breadth. If the area of the rectangle is 1875sq.cm,find its perimeter

Answer 1

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◆Let us take the breadth be x.

Then it's lenght =3x .

Area =3x ×x =3x^2.

But it is given 1875 sq.cm. So,

ATQ, 3x^2=1875cm^2

or x^2 = 1875 /3 cm^2

or x^2 = 625cm^2

or x =√625cm^2

Therefore x =25cm

Length =3x=3×25cm=75cm.

Breadth =x = 25cm.

Perimeter =2(l+b)=2(25cm+75cm)=2×100cm=200cm

$<b>Therefore the perimeter is 200cm. <marquee behavior =alternate bgcolor=pink>●HOPE IT HELPS●. <br.>◆HAPPY NEW YEAR.◆$

Answer 2

Let the length be 'l' and the breadth be 'b'

We have :-

=> l = 3b

and, Area of Rectangle = 1875 cm²

=> l × b = 1875 cm²

=> 3b × b = 1875 cm²

=> b = 25 cm

So, l = 3b = 75 cm

Hence, Perimeter of Rectangle = 2(l + b) = 8b
= 200cm

Hop it'll help you.....