Perimeter = 2L + 2W = 256
"8 feet longer than it is wide"
translates to
L = 8 + W
we plug that into the first equation and get
2(8 + W) + 2W = 256
now we solve for W
distribute the 2
16 + 2W + 2W = 256
add like terms
16 + 4W = 256
subtract 16 from both sides
4W = 240
divide both sides by 4
W = 60
plug that into
L = 8 + W
and solve for L now
L = 8 + 60
so
L = 68
therefore your
length = 68
and
width = 60
Answer:
Step-by-step explanation:
Let's start with distributing:
Simplify i with i in the second term, and rearrange.
. Since i in the denominator looks ugly, let's multiply top and bottom by i.
. The middle passage is based on the fact that, by definition, 
First subtract 100v² from both sides to get:
C²L²=100c²-100v²
Then divide both sides by C²:
L²=(100c²-100v²)/C²
Then take the square root of both sides:
L=+ or - the square root of (100c²-100v²)/C²
Please find the attachment.
Let x represent the side length of the squares.
We have been given that an open box is made from an 8 by ten-inch rectangular piece of cardboard by cutting squares from each corner and folding up the sides. We are asked to find the volume of the box.
The side of box will be
and
.
The height of the box will be
.
The volume of box will be area of base times height.

Now we will use FOIL to simplify our expression.


Now we will distribute x.


Therefore, the volume of the box would be
.