Question

A rectangular park is w feet wide. Its length is 25 feet larger than its width. Record using algebra:

What is the area of the park?

Answer 1

The width = w

The length = w +25

Area = Length x width

Area = W * (w+25)

Use the distributive property:

Area = w^2 +25w

Answer 2

For this case we have that by definition, the area of a rectangle is given by:

`A = w * l`

Where:

w: It is the width

l: It is the length of the rectangle

According to the data we have to:

`l = 25 + w`

So:

`A = w (25 + w)`

We apply distributive property:

`A = 25w + w ^ 2`

So, the area is
`( w ^ 2 + 25w) ft ^ 2`

Answer:

`w ^ 2 + 25w`