Respuesta :
Answer:
The length of the rectangle is [tex]96 \text{m}[/tex]
Step-by-step explanation:
The perimeter of a rectangle is calculated by [tex]P=2(l+w)[/tex] where [tex]l[/tex] represents the length and [tex]w[/tex] represents the width of the rectangle.
The perimeter of a rectangular pool is [tex]348 \text{m}[/tex].
[tex]P=2(l+w)\\348=2(l+78)\\348=2l+156\\2l=348-156\\2l=192\\l=\dfrac{192}{2}\\l=96 \text{m}[/tex]
Perimeter=add all sides
Rectangle=4 sides
Given: width of pool=78m
Given: perimeter is 348m
Other side parallel will also be 78m
Unknown: lengths (2)
78x2=156m
348-156m=192m
Unknown lengths should add up to 192m.
Unknown lengths should be the same length because parallel sides on a rectangle equal each other.
192/2=96m.
The length of the pool is 96m.
Rectangle=4 sides
Given: width of pool=78m
Given: perimeter is 348m
Other side parallel will also be 78m
Unknown: lengths (2)
78x2=156m
348-156m=192m
Unknown lengths should add up to 192m.
Unknown lengths should be the same length because parallel sides on a rectangle equal each other.
192/2=96m.
The length of the pool is 96m.