on a plan of a rectangular garden the length is 12cm and the width is 9cm. the actual length of the garden is 8 yards. what is the actual width?
Can you walk me through the process more clearly please? Thanks!
Cross multiply and solve for w
8/12 = w/9
nevrmind. thanka
To find the actual width of the garden, we need to convert the given length and width to the same unit of measurement.
Given:
Length of the plan = 12 cm
Width of the plan = 9 cm
Actual length of the garden = 8 yards
First, let's convert the length of the plan from centimeters to yards:
1 yard = 91.44 cm (approximately)
So, the length of the garden in yards is:
12 cm ÷ 91.44 cm/yard ≈ 0.1312 yards
Now, since we know the ratio between the length and the width of the garden in the plan is the same as the actual garden, we can use this ratio to find the actual width.
Ratio of length in plan to actual length:
12 cm : 0.1312 yards
Ratio of width in plan to actual width (which we want to find):
9 cm : w yards
Now, we can set up a proportion to find the actual width:
12 cm / 0.1312 yards = 9 cm / w yards
Cross-multiplying, we get:
(12 cm)(w yards) = (0.1312 yards)(9 cm)
Simplifying:
12w cm*yards = 1.1808 cm*yards
Dividing both sides by 12 cm:
w yards = 1.1808 cm*yards / 12 cm
w yards ≈ 0.0984 yards
Therefore, the actual width of the garden is approximately 0.0984 yards.