Answer:
Dimensions: 11 meters by 27 meters
2. [tex]76=2w+2(2w+5)[/tex]
Step-by-step explanation:
Finding Dimensions:
The perimeter of a rectangle can be written as [tex]2l+2w[/tex] where [tex]l[/tex] is the length and [tex]w[/tex] is the width. It is given that the length is 5 more than twice the length of width and the perimeter of the rectangle is 76 meters.
With this information we can write:
Length = [tex]2w+5[/tex]
[tex]2(2w+5)+2w = 76[/tex] (perimeter of the rectangle)
[tex]4w+10+2w=76[/tex]
[tex]6w=66[/tex]
[tex]w=11[/tex]
Length = [tex]2(11)+5[/tex]
Length = [tex]27[/tex]
∴ The dimensions of the rectangle is 11 meters by 27 meters.
Perimeter
Since the length can be written as [tex]2w+5[/tex], the equation that represents the perimeter of the rectangle is [tex]76=2w+2(2w+5)[/tex]
