Use the image to answer the question.
A map shows a grid 17 units across and 12 units high, superimposed over shapes that represent streets and buildings. A key lists buildings located in Washington D.C. that correspond to points on the grid. Point A represents the White House. It is located at 4 units across from the left, and 3 units down from the top. Point B represents the Washington Monument, located at 5 units across and 9 units down. Point C represents the Natural History Museum, and is located at approximately 8 units across and 8 units down. Point D represents the Smithsonian, and is located at 10 units across and 10 units down. Point E represents the National Portrait Gallery, and is located at 12 units across and 3 units down. Point F represents the National Gallery of Art, and is located at 14 units across and 8 units down. A scale shows 200 feet and 200 meters.
Find the length between landmark A and landmark E .
To find the length between landmark A and landmark E, we need to count the number of units horizontally and vertically between the two points and then convert that into feet or meters using the scale provided.
The horizontal distance between A and E is 12 - 4 = 8 units.
The vertical distance between A and E is 3 - 3 = 0 units.
So, the total distance between A and E is 8 units.
Since the scale shows that 17 units on the map represent 200 feet or 200 meters, we can set up a proportion:
17 units = 200 feet
8 units = x feet
Cross-multiplying, we get:
17x = 8 * 200
Solving for x, we get:
17x = 1600
x = 1600 / 17
x ≈ 94.12 feet
Therefore, the length between landmark A and landmark E is approximately 94.12 feet.