yume420
contestada

A rectangular swimming
pool has a perimeter of
150 meters. The length of
the pool is twice the width
of the pool. What is the
length of the pool?

Respuesta :

Answer:

77

Step-by-step explanation:

perimeter=150

lets name the length x

length=x

width=x-2

2[x±x-2]=150

2x±2x-4=150

4x=154

154÷4=77

x=77

The length of  the pool is 50 meters and this can be determined by using the formula of the perimeter.

Given :

  • A rectangular swimming  pool has a perimeter of  150 meters.
  • The length of  the pool is twice the width  of the pool.

The following steps can be used in order to determine the length of the pool:

Step 1 - The formula of the perimeter of the rectangle is given by:

P = 2(l + w)  

where l is the length of the rectangle and w is the width of the rectangle.

Step 2 - According to the given data, the length of  the pool is twice the width  of the pool that is:

l = 2w    --- (1)

Step 3 - Now, substitute the known terms in the formula of the perimeter.

150 = 2(3w)

150 = 6w

w = 25 meters

Step 4 - Now, substitute the value of w in the equation (1).

l = 2(25)

l = 50 meters.

For more information, refer to the link given below:

https://brainly.com/question/897975