Question

the wide of a rectangle is two thirds its length if the perimeter is 180 metres find the dimensions of the rectangle​

Answer 1

Let width be X .

and length be y.

It is given that

x=2/3y-------(1)

and

perimeter = 180m

then we know that

2(l+b)=180

Now substituting the value

2(l+2/3y)=180

2y+4y/3=180

6y+4y/3=180

8y= 540

y= 540/8=67.5

hope it is helpful to you.

THANKS

Answer 2

Let the length be x m.

Then breadth will be 2/3x m.

Perimeter =2*(l+b)

=2*(x+2/3x)=180

x+2/3x=90

(3x+2x)/3=90

5x/3=90

5x=270

x=270/5

x=54

Hence length is 54 m and breadth is 2/3*54=36 m.