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. What expression finds the area of the scale drawing?
the awnser is 150/4
To find the expression that finds the area of the scale drawing, we need to consider the relationship between the scale factor and the area.
The scale factor represents the ratio between the dimensions of the actual room and the scale drawing. Since the scale factor is 4, it means that each dimension of the actual room is 4 times larger than the scale drawing.
Therefore, if the actual area of the room is 150 square feet, we can find the area of the scale drawing by dividing the actual area by the square of the scale factor.
So, the expression that finds the area of the scale drawing is:
Actual Area / (Scale Factor)^2
Substituting the values, we get:
150 / (4)^2
Simplifying further:
150 / 16
Which evaluates to:
9.375 square feet
Therefore, the area of the scale drawing is 9.375 square feet.
To find the area of the scale drawing, we need to determine the relationship between the area of the scale drawing and the area of the actual room, given the scale factor.
The relationship between the areas of two similar figures is the square of the scale factor. In this case, the scale factor is 4.
So, the expression to find the area of the scale drawing can be obtained by dividing the area of the actual room (150 square feet) by the square of the scale factor (4^2 = 16).
Therefore, the expression to find the area of the scale drawing is (150 square feet) / 16, which simplifies to 9.375 square feet.
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