What is the area of this rectangle?

To find the area of a rectangle, you use the formula:

[

text{Area} = text{Length} times text{Width}

]

Here, the length is given as ((frac{5}{4})b + 20) ft and the width as ((frac{4}{5})b) ft.

Now, let’s calculate the area:

[

text{Area} = left(frac{5}{4}b + 20right) times left(frac{4}{5}bright)

]

To simplify this, we can distribute:

1. Multiply (frac{4}{5}b) by each term in the parentheses.
2. The first term will be:

[

frac{5}{4}b times frac{4}{5}b = b^2

]

3. The second term will be:

[

20 times frac{4}{5}b = 16b

]

Now combining these, we get:

[

text{Area} = b^2 + 16b

]

So, the area of the rectangle is:

[

boxed{b^2 + 16b} text{ ft}^2

]

This expression represents the area in terms of (b). If you need further assistance with this, feel free to check out our