Answer: Length = 28 feet
Width = 4 feet
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of the rectangle is 64 feet. This means that
2(L + W) = 64
Dividing through by 2, it becomes
L + W = 32 - - - - - - - - - - - -1
The rectangle is 7 times as long as it is wide. This means that
L = 7W
Substituting L = 7W into equation 1, it becomes
7W + W = 32
8W = 32
W = 32/8
W = 4
L = 7W = 7 × 4
L = 28
Answer:
The length is 28ft and the width is 4ft.
Step-by-step explanation:
Let x equals to the width. Since the length is 7 times as long as the width, we know that it has to be 7x.
The perimeter equation of a rectangle would be P=2(l+w)
Here are the givens:
l= 7x
w= x
P=32 ft
P=2(l+w)
All you need to do is substitute x and 7x into width and length in the perimeter equation
P=2(7x+x)
P=2(8x)
Substitute 64ft into "P"
64=16x
x=4
After finding x=2, we would substitute x into the length and the width equations
w=4
l=4(7)=28
so the length is 28ft and the width is 4ft.
