A landscaper is drawing a scale model of a garden. The scale is that three eighths double prime
3
8 on the plan represents 1 foot in the garden. If a flower bed is 6 prime 3 double prime63 long, how long will it be on the plans?
" means inches, not some weird "double prime."
So, 6'3" = six feet, 3 inches, or 6.25 ft)
Since the scale is constant,
(3/8 ")/(1 ft) = x"/(6.25 ft)
Now just solve for x:
(3/8 ")/(1 ft)*(25/4 ft) = 75/32 "
To determine the length of the flower bed on the plans, we need to use the given scale. The scale states that 3/8 on the plan represents 1 foot in the garden.
To find the length on the plan, we need to calculate the number of units on the plan that corresponds to the actual length of the flower bed.
The length of the flower bed is given as 6' 3". To convert this length into feet, we need to convert the inches to feet. Since 1 foot is equal to 12 inches, we have:
6' 3" = 6 + 3/12 = 6.25 feet
Now, we can use the scale to determine the length on the plans:
1 foot in the garden = 3/8 on the plan
6.25 feet in the garden = x on the plan
To find x, we can set up a proportion:
(6.25 feet) / (1 foot) = x / (3/8)
To solve this equation, we can multiply both sides of the equation by 3/8:
(6.25 feet) / (1 foot) * (3/8) = x
Simplifying:
(6.25 * 3) / 8 = x
x = 2.34375
Therefore, the length of the flower bed on the plans would be approximately 2.34375 units.