A local food truck all push out and healthy foods poster the poster is in the shape of a rectangle and it's dimensions are given in the table 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 table what is the area of Alpharetta scale drawing

1 answer

To find the area of Alfredo's scale drawing, we first need to determine the scale factor.

Let's say the length of the top edge of the original poster is 20 inches. According to the table, the original poster dimensions are 20 inches by 30 inches.

The scale factor can be calculated by dividing the length of the top edge of the scale drawing by the length of the top edge of the original poster:

Scale factor = Length of top edge of scale drawing / Length of top edge of original poster
Scale factor = 10 / 20
Scale factor = 1/2

Now, we can calculate the dimensions of the scale drawing by multiplying the dimensions of the original poster by the scale factor:

Length of scale drawing = 20 inches * 1/2 = 10 inches
Width of scale drawing = 30 inches * 1/2 = 15 inches

The area of the scale drawing can be calculated by multiplying the length and width of the scale drawing:

Area of scale drawing = Length of scale drawing * Width of scale drawing
Area of scale drawing = 10 inches * 15 inches
Area of scale drawing = 150 square inches

Therefore, the area of Alfredo's scale drawing of the poster is 150 square inches.