Answer:
Length: 139 feet
Width: 104 feet
Step-by-step explanation:
The formula for the perimeter of a rectangle can be given by [tex]P = 2l + 2w[/tex]. We are given the perimeter of the pool along with the width.
[tex]P = 486[/tex]
[tex]w = l - 35[/tex]
From here, all we have to do is plug back into the original formula:
[tex]486 = 2l + 2(l - 35)[/tex]
Which can be further simplified as:
[tex]486 = 2l + 2l - 70[/tex]
[tex]486 = 4l - 70[/tex]
From here, all we have to do is add 70 to both sides of the equation and divide by four:
[tex]556 = 4l[/tex]
[tex]139 = l[/tex]
To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:
[tex]P = 2l + 2w[/tex]
[tex]P = 2(139) + 2(104)[/tex]
[tex]P = 278 + 208[/tex]
[tex]P = 486[/tex]
And the substitution works, so the length of the rectangle would be 139 feet and the width would be 104 feet.
Answer:
Length = 139 and Width = 104 .
Step-by-step explanation:
Given: The perimeter of a rectangle swimming pool is 486 feet. The width of the pool is 35 feet less than the length.
To find: Find the length and the width .
Solution: We have given that
Let the length = x
According to question
The width of the pool is 35 feet less than the length.
width = x-35
perimeter = 2(length + width)
plugging the values
486 = 2(x + x-35)
486 = 2x + 2x - 70
486 = 4x - 70
On adding by 70 both side
486 +70 = 4x-70 +70
556 = 4x
On dividing by 4 both side
139 = x
so, length = 139 .
width = x -35 = 139- 35 = 104
Therefore, length = 139 and width = 104.
