Final answer:
The expression for the area of the card that is left in terms of x, after removing a square of length x + 3, is L × W - (x + 3)^2 where L and W are the original length and width of the card. This is the simplest algebraic form without the actual dimensions of the card.
Step-by-step explanation:
Expression for the Remaining Area of the Card in Terms of x To determine the area of the rectangular card that is left after removing a square of length x + 3, we must first understand the concept of area. The area of a rectangle is the product of its length and width. If we are not given the original dimensions of the rectangular card, we can let those dimensions be represented by variables, say length (L) and width (W). The area of the rectangular card would then be L × W.
Now, the area of the square that was removed is the square of its side length, which is (x + 3)^2. To find the area of the card that is left, we need to subtract the area of the removed square from the area of the original rectangle. This gives us:
Remaining Area = Original Area - Area of Removed Square
Remaining Area = L × W - (x + 3)^2
Since we don't have specific values for L and W, we express the remaining area solely in terms of x and the original dimensions (L and W). If given the dimensions, we could provide a numerical value; however, based on the information provided, this expression is our final answer in its simplest algebraic form. Remember that the actual dimensions of L and W are necessary to calculate a specific numerical area that is left.