Final answer:
To find the area of a rectangle with a given perimeter and length-width relationship, we set up an equation, solve for the width, and then calculate the area.
Step-by-step explanation:
To find the area of a rectangle, we need to know its length and width. Let's assume that the width of the rectangle is x cm. According to the given information, the length of the rectangle is 8 more than its width, so the length can be represented as (x+8) cm. The perimeter of a rectangle is given by the formula P = 2(length + width), and it is given to be 80 cm. So, we can write the equation as 80 = 2((x+8) + x). Solving this equation will give us the value of x, which we can then use to find the width and length of the rectangle. Once we have the width and length, we can calculate the area of the rectangle by multiplying the length and width.
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