A local food organization puts out a healthy food poster. A poster is in the shape of a rectangle and it’s dimensions are given in the table left edge 36 top edge 24 Alfredo wants to make a smaller version of the poster to hang up in the community center he makes a scale drawing of the poster with the length of the top edge given in the tablet. What is the area of Alfredo scale drawing?
To find the area of Alfredo's scale drawing, we first need to determine the scale factor by comparing the dimensions of the original poster with the dimensions of the scale drawing.
Let's use x as the length of the top edge of the scale drawing.
The scale factor for the top edge dimension is x/24, and since all dimensions must be scaled proportionally, the scale factor for the length of the left edge will be x/36.
The area of the original poster is 36 * 24 = 864 square units.
The area of Alfredo's scale drawing will be (x/36) * (x/24) * 864.
Simplifying this expression, we get:
(x/36) * (x/24) * 864 = (x^2 / 864) * 864 = x^2 square units
Therefore, the area of Alfredo's scale drawing will be x^2 square units.