The scale drawing of a rectangular room will be enlarged by a scale factor of 4 to create the actual room. The actual area of the room will be 150 square feet. Which expression finds the area of the scale drawing?
What expressions?
To find the area of the scale drawing, we need to find the relationship between the area of the scale drawing and the actual room based on the given scale factor.
Since the scale factor is 4, it means that the length and width of the scale drawing are 1/4 of the length and width of the actual room.
Let's assume the length and width of the actual room are L and W respectively. The area of the actual room is given as 150 square feet.
To find the area of the scale drawing, we need to find the area of the actual room and then use the scale factor to determine the area of the scale drawing.
The area of the actual room is given by:
Area of actual room = L * W
Since the scale factor is 4, the length and width of the scale drawing will be L/4 and W/4 respectively. Therefore, the area of the scale drawing can be found as:
Area of scale drawing = (L/4) * (W/4)
Combining these equations, the expression that finds the area of the scale drawing would be:
(L/4) * (W/4)
However, since we are not given the values of L and W, we cannot simplify the expression further.