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

Answer:

• The length and breadth of rectangle are 54 & 36 metres respectively.

Step-by-step explanation:

According to the Question

It is given that ,

• Width of a rectangle is two-thirds its length.
• Perimeter is 180 metres.

we have to calculate the dimensions of the rectangle .

According to the given statement :

Let the length be x m.

Then, its width will be 2x/3 m .

Now, it is given that Perimeter of rectangle is 180.

Also, we know that Perimeter of Rectangle is calculated by

• Perimeter of Rectangle = 2(length+breadth)

by putting the value we get

➺ 2( x + 2x/3) = 180

➺ x + 2x/3 = 180/2

➺ 3x+2x/3 = 90

➺ 5x/3 = 90

➺ 5x = 90×3

➺ 5x = 270

➺ x = 270/5

➺ x = 54m

Since, the length of rectangle is 54m

then width will be 2/3 × 54 = 108/3 = 36m

• Hence, the length and breadth of rectangle are 54 & 36 metres respectively.

Answer 2

Answer:

54 m and 36 m

Step-by-step explanation:

Given :-

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

To Find :-

Dimensions of rectangle

Solution :-

Let,

Length = x

Breadth = ⅔ × Length

= ⅔ × x

=> 2x/3

Perimeter = 2(l + b)

180 = 2(x + 2x/3)

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

180 = 2(5x/3)

180 = 10x/3

180 × 3/10 = x

18 × 3 = x

54 = x

Length = x = 54 m

Breadth = 2 × 54/3 = 2 × 18 = 36 m