mark is making a scale drawing of his house.the width of his house is 40 feet.marks room is 10 feet wide by 17 and a half feet long in mark first drawing the width of his house (40feet) is represented by 8 inches what would the dimensions of his room in inches be on the drawing?

Cross multiply and solve for x.

8/40 = 10/x

8/40 = 17.5/x

what is the end of the answer i need it for the common core test.

To find the dimensions of Mark's room in inches on the drawing, we need to calculate the scale factor used in the drawing.

The scale factor can be calculated by dividing the length in inches on the drawing by the actual length in feet. In this case, we know that the width of Mark's house (40 feet) is represented by 8 inches on the drawing.

Scale factor = Length on drawing / Actual length

Scale factor = 8 inches / 40 feet

First, let's convert the length from feet to inches:

40 feet * 12 inches/foot = 480 inches

Scale factor = 8 inches / 480 inches

Simplifying the fraction:

Scale factor = 1/60

Now, we can apply this scale factor to find the dimensions of Mark's room on the drawing.

Width on the drawing = Actual width * Scale factor
Width on the drawing = 10 feet * (1/60)
Width on the drawing = 10 feet / 60
Width on the drawing = 1/6 inch

Length on the drawing = Actual length * Scale factor
Length on the drawing = 17.5 feet * (1/60)
Length on the drawing = 17.5 feet / 60
Length on the drawing ≈ 0.292 inches (rounded to the nearest thousandth)

Therefore, the dimensions of Mark's room on the drawing would be approximately 1/6 inch by 0.292 inches.