the length of a rectangular banner is 5 feet longer than the width. If the width is 84 square feet, find the dimensions
Do you mean that the width is 84 feet?
Or is the area of the banner 84 square feet?
I'm sorry sue the area is 84 square feet
To find the dimensions of the rectangular banner, we need to determine the length first.
We are given that the width is 84 square feet. Since the formula for the area of a rectangle is length multiplied by width, we can set up the following equation:
Length × Width = Area
Let's substitute the given values into the equation:
Length × 84 = Area
We also know that the length is 5 feet longer than the width. So, we can express the length as:
Length = Width + 5
Now, let's substitute this expression for length into the equation:
(Width + 5) × 84 = Area
We can now solve for the unknowns. Plugging in the given value for the width, we get:
(84 + 5) × 84 = Area
Now, calculate the expression on the left side:
89 × 84 = Area
And calculate the final product:
7476 = Area
So, the area of the rectangular banner is 7476 square feet. To find the dimensions, we can divide this area by the width:
Length = Area / Width
Length = 7476 / 84
Length ≈ 89
Therefore, the dimensions of the rectangular banner are approximately 89 feet in length and 84 feet in width.