Question

The width of a rectangle is two third its length if the perimeter is 180 m find dimension

Answer 1

Given :

• Width of the rectangle = 2/3 m.

• Perimeter of the rectangle = 180 m.

To find :

• Dimension of the rectangle =?

Step-by-step explanation :

Perimeter of the rectangle = 180 m. [Given]

Let, the length of the rectangle = x .

Then, the breadth of the rectangle = 2/3x.

We know that,

Perimeter of the rectangle = 2 ( length + breadth)

Substituting the values in the above formula, we get,

➮ 180 = 2 (2/3x + x)

➮ 180 = 2 ( 2x + 3x/3 )

➮ 180 = 2(5x/3)

➮ 180 = 10x/3

➮ 10x = 180 × 3

➮ x = 180 × 3 / 10

➮ x = 18 × 3

➮ x = 54.

Therefore, We know that value of x = 54 m.

Hence,

Length of the rectangle = x = 54 m.

Breadth of the rectangle = 2/3x

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ = 2/3 × 54

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ = 108/3

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ = 36 m.

Answer 2

Answer:

Given information –

• The length of the rectangle. (Let us assume it to be x.)
• The breath as two third of the length. (Hence, it is ⅔x.)
• The perimeter of rectangle is 180 m.

To Find –

• The dimensions of the rectangle.

Solution –

The formula for perimeter of a rectangle = 2(l + b)

Hence, 2(l + b) = 180 m.

Putting in the values of length and breadth that we assumed previously.

➸ 2(x + ⅔x) = 180 m

➸ 2x + 4/3x = 180 m

➸ (6x + 4x)/3 = 180 m

➸ 10x = 180*3

➸ 10x = 540

➸ x = 540/10

➸ x = 54 m

Hence, length of the rectangle is 54 metres.

Now, ⅔x = ⅔*54 = 2*18 = 36 m

And the breadth of the rectangle is 36 metres.