the length of a calculus book is 2 inches more than the width. the perimeter is 36 inches find the width
width is 8, length is 10
To find the width, we need to set up an equation based on the given information.
Let's assume the width of the calculus book is represented by "w" inches.
According to the given information, the length of the book is 2 inches more than the width, which means the length is "w + 2" inches.
The perimeter of a rectangle is given by the formula: 2(length + width).
So, for our calculus book, the perimeter is:
2(w + (w + 2))
We are given that the perimeter is 36 inches, so we can set up the equation:
2(w + (w + 2)) = 36
Now, let's solve for the width (w):
2(w + (w + 2)) = 36
Simplify the equation:
2(2w + 2) = 36
Distribute 2 to both terms inside the parentheses:
4w + 4 = 36
Subtract 4 from both sides of the equation:
4w = 36 - 4
4w = 32
Divide both sides of the equation by 4:
w = 32/4
w = 8
Therefore, the width of the calculus book is 8 inches.