Determine the Area of a Rectangular Plot with a Given Perimeter

A rectangular plot of land has a length that is 4 meters longer than its width. If the dimensions of the land are such that its perimeter is 80 meters, what is the area of the plot in square meters?

Let the width of the plot be represented by the variable $w$. Therefore, the length can be expressed as $l = w + 4$. The formula for the perimeter $P$ of a rectangle is given by:

$$P = 2l + 2w$$

Substituting the expressions for $l$ and $P$ into the formula, we have:

$$80 = 2(w + 4) + 2w$$

Solve for $w$ to find the dimensions, and then use the formula for area $A$:

$$A = l imes w$$