The carpenter wants to make a dresser based on the dollhouse furniture. The scale is 5\2in : 1ft. The height of the
dollhouse is 10in. What is the height of
the carpenter's dresser.
Scale = 5.5 in.: 1 foot or 2.5 in.: 1 foot?
if latter,
10/2.5 = h/1
Solve for h.
To find the height of the carpenter's dresser, we need to apply the scale conversion factor to the height of the dollhouse.
Given:
Scale: 5/2in : 1ft
Height of the dollhouse: 10in
To convert inches to feet, we can divide the number of inches by 12 since there are 12 inches in a foot.
So, we have:
Height of the dollhouse in feet = (10in) / 12 = 10/12 ft
Now, we can use the scale conversion factor to find the height of the carpenter's dresser.
Scale: 5/2in : 1ft
Height of the carpenter's dresser = Height of the dollhouse in feet * Scale conversion factor
Height of the carpenter's dresser = (10/12 ft) * (5/2in : 1ft)
To multiply fractions, we multiply the numerators together and the denominators together.
Height of the carpenter's dresser = (10/12 ft) * (5/2/1)
To multiply, we can first simplify the fractions:
Height of the carpenter's dresser = (10/12 ft) * (5/2/1) = (10/12 ft) * (5/2)
Next, multiply the numerators together and the denominators together:
Height of the carpenter's dresser = (10 * 5) / (12 * 2) ft
Height of the carpenter's dresser = 50 / 24 ft
Finally, simplify the fraction:
Height of the carpenter's dresser = 25/12 ft
So, the height of the carpenter's dresser is 25/12 ft.