Question

The width of a rectangle is two-thirds its length. If the perimeter is 180 metres, find the
dimensions of the rectangle.​

Answer 1

Step-by-step explanation:

Width of rectangle = 2/3 x

Length of rectangle = x

Perimeter of rectangle = 180 m

Perimeter of rectangle

= 2(l + b) = 180 m

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

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

=2 ( 5x /3) = 180 m

=10x/3 =180 m

= 10 x = 180 x 3

=10x =540

x = 540/10

x = 54 m

Length = 54 m

Breadth = 2/3 x 54

Breadth = 2 x 18 m

Breadth = 36 m

Dimensions : -

Length of rectangle = 54 m

Breadth of rectangle = 36 m

Verification : -

2 (54 + 36) = 180

2(90) = 180

180 = 180

Answer 2

Step-by-step explanation:

length of the rectangle is 54 m......