The White House, built in 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?

To calculate the width of a replica of the White House with a length of 4ft, we use a scale factor, which is the replica length divided by the original length (4ft/170ft). Applying this scale factor to the original width (85ft), the width of the replica would be 2ft.
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Answered by adipratapsingh12 | 2024-06-19

The question is asking to find the width of a replica of the White House if the length of the replica is 4 feet, given that the actual White House is approximately 170 feet long by 85 feet wide. To solve this, we use the concept of proportionality. Proportionality is when two ratios are equal to each other; in this case, the ratio of the replica's dimensions must be the same as the actual dimensions.
Here's the proportion we set up to solve the problem:
Actual White House length : Actual White House width = Replica White House length : Replica White House width
170 ft : 85 ft = 4 ft : width of the replica
To find the width of the replica, we cross-multiply and solve for the unknown width:
170/85 = 4/width
Now, we simplify the left side and solve:
170/85 reduces to 2/1, so:
2/1 = 4/width
Cross multiply to get: 2 × width = 4
Divide both sides by 2 to isolate width:
width = 4/2
width = 2 feet
Therefore, the width of the replica of the White House would be 2 feet.

Answered by RachelMeghanMarkle | 2024-06-24

To find the width of a replica of the White House measuring 4 feet in length, we calculate a scale factor based on the original dimensions. Using this scale factor, we determine that the width of the replica would be approximately 2 feet. Thus, for a 4-foot long replica, the width is about 2 feet.
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Answered by adipratapsingh12 | 2024-12-26