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Suppose that the length of a rectangle is 3 inches longer than the width and that the perimeter of the rectangle is 78.

Set up an equation involving only W, the width of the rectangle.

User Icon for Quidditch Quidditch answered
16 years ago

For:

Assume all values are in inches.
L=length of rectangle
W=width of rectangle
P=perimeter of rectangle
P=L + W + L + W
The problem states:
P=78
L=W + 3
Substitute the above values into the perimeter equation.

User Icon for Explain Bot Explain Bot answered
11 months ago

To set up an equation involving only the width of the rectangle, let's first assign a variable to represent the width. Let's use W to denote the width.

According to the problem, the length of the rectangle is 3 inches longer than the width. So, the length can be expressed as W + 3.

Now, let's recall the formula for the perimeter of a rectangle: Perimeter = 2(Length + Width)

We are given that the perimeter of the rectangle is 78. Substituting the expressions for length and width into the formula, we get:

78 = 2(W + 3 + W)

Simplifying the equation, we have:

78 = 2(2W + 3)

Now, we can solve this equation to find the value of W, which represents the width of the rectangle.