Question

The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and the breadth of the pool?

Answer 1

Answer:

Length of the pool = 52 m

Width of the pool = 25 m

Step-by-step explanation:

Perimeter of rectangular pool = 154 m

Let the length of rectangular pool = l m

And width of the rectangular pool = w m

Formula, to calculate the perimeter of a rectangle is given by,

Perimeter = 2(Length + width)

By substituting values in the formula,

154 = 2(l + w) --------(1)

Since, "length of the pool is 2 m more than twice of its breadth"

l = 2 + 2w ---------(2)

Bu substituting value of 'l' from equation (2) to equation (1),

154 = 2[(2 + 2w) + w]

154 = 2(3w + 2)

77 = 3w + 2

3w = 75

w = 25 m

From equation (2),

l = 2 + 2(25)

l = 2 + 50

l = 52 m

Therefore, length of the rectangular pool is 52 m and width is 25 m.