The actual length (L) of a rectangle is 27 centimeters. Use the scale drawing of the rectangle to find the actual width (W).
2 answers:
The proportion of length to width is 
.
The ratio remains consistent between both the scale representation and the actual dimensions.
I calculated the L/W for the scale and equated it with the L/W of the actual representation.
We can now derive the unknown width.
Performing cross-multiplication results in:
Now dividing by 2.4 and simplifying gives us:
I hope this helps!:)
The ratio remains consistent between both the scale representation and the actual dimensions.
I calculated the L/W for the scale and equated it with the L/W of the actual representation.
We can now derive the unknown width.
Performing cross-multiplication results in:
Now dividing by 2.4 and simplifying gives us:
I hope this helps!:)
Conclusion:
18 centimeters.
Detailed steps:
This problem can be solved using proportions. The given rectangle provides a ratio that is useful to derive the answer. This can be approached with the rule of three.
Next, we find :
Thus, as per the proportion, the actual width is determined to be 18 centimeters.
When employing proportions and ratios, it’s important to ensure correct alignment of dimensions; for instance, if width is placed in the numerator, it must also remain in that position in the corresponding ratio.
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Answer:
12 pencils per package.
Step-by-step explanation:
Details provided:
Ethan purchased 4 packages of pencils.
Number of Packages = 4
Number of pencils shared with friend = 8 pencils
Pencils remaining = 40 pencils
∴Total Number of Pencils = Pencils given to friend + Pencils remaining =
Total Pencils in each package =