Ratio, Proportions, and Similarity
Similar Figures
The White House, built 1792, is the oldest federal building in Washington, D.C. The building has undergone extensive remodeling over the years. The main building is four stories high and is about 170 ft long by 85 ft wide. If a replica of the White House were made with a length of 4 ft, what would be the width of the replica?
My Answer - 85 x 4 = 340/170 = 2
right....????
ms. sue please reply my math post
Right.
thank you and don't just say right so I can leave you alone...! (just saying)
you can delete my other post
Your approach to finding the width of the replica seems to be incorrect. Let me explain how to solve this problem correctly using proportions.
We can set up a proportion between the dimensions of the actual White House and the replica:
(actual width) / (actual length) = (replica width) / (replica length)
In this case, we know that the actual width is 85 ft, the actual length is 170 ft, and the replica length is 4 ft. Let's say the replica width is "w" ft.
So our proportion becomes:
85 / 170 = w / 4
To find the value of "w", we can cross-multiply and solve for it:
85 * 4 = 170 * w
340 = 170w
To isolate "w", we divide both sides of the equation by 170:
w = 340 / 170
Simplifying that, we get:
w = 2
Therefore, the width of the replica White House would be 2 ft, not 340 ft as in your previous calculation.
So, your answer is not correct. The width of the replica should be 2 ft, not 340 ft.