(Tell whether each expression would give you the area or the perimeter of the rectangle)
3) xy
4) y + 2x +y
A = L *W
P = 2L + 2W
In other words, Area= length x width. Which shows that? #3 or 4?
Perimeter= 2 x the length + 2 x the width. Which shows perimeter, then, 3 or 4?
You'll have to use your common sense.
To determine whether an expression gives you the area or the perimeter of a rectangle, we need to understand the formulas for both.
1) Area: The formula for the area of a rectangle is A = length * width or A = l * w, where l represents the length and w represents the width.
2) Perimeter: The formula for the perimeter of a rectangle is P = 2(length + width) or P = 2(l + w), where l represents the length and w represents the width.
Now let's analyze the given expressions:
3) xy:
This expression does not include any operation related to addition or multiplication by a constant. It simply denotes multiplying the variables x and y. Therefore, this expression does not represent either the area or the perimeter of a rectangle. Instead, it might represent a product of two variables x and y.
4) y + 2x + y:
This expression consists of addition and multiplication by a constant (2) operations. By looking at the variables involved, we can see that y represents the length and 2x represents the width. Adding y again might represent another side length in the shape. Thus, this expression represents the perimeter of a rectangle.
In summary:
3) xy does not represent either the area or the perimeter of a rectangle.
4) y + 2x + y represents the perimeter of a rectangle.