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:

$w ^ 2 + 25w$