The white house, built 1792, is the oldest federal building in washington DC . The building has undergone extensive remodeling over the years. The main building is 4 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 the width be of the replica?
I thought the White House burned down in 1812.
4/170=x/85
Width scale= 4*85/270
To find the width of the replica of the White House, we can set up a proportion using the dimensions of the actual building.
Let x represent the width of the replica.
We know that the actual White House is 170 ft long by 85 ft wide.
So we can set up the following proportion:
170 ft / 85 ft = 4 ft / x
To solve for x, we can cross-multiply and then divide:
170 ft * 4 ft = 85 ft * x
680 ft^2 = 85 ft * x
Dividing both sides of the equation by 85 ft gives us:
(680 ft^2) / (85 ft) = x
8 ft = x
Therefore, the width of the replica would be 8 ft.
To determine the width of the replica of the White House, we can use the concept of proportions. We know that the main building of the White House is about 170 ft long by 85 ft wide.
Let's set up a proportion:
Width of the White House / Length of the White House = Width of the replica / Length of the replica
Plugging in the given values:
85 ft / 170 ft = Width of the replica / 4 ft
Now, we can solve for the width of the replica:
85 ft * 4 ft = 170 ft * Width of the replica
340 ft² = 170 ft * Width of the replica
Dividing both sides of the equation by 170 ft:
340 ft² / 170 ft = Width of the replica
2 ft = Width of the replica
Therefore, the width of the replica of the White House would be 2 ft.