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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 B
and F
. Round the answer to the nearest hundredth, if necessary.

(1 point)
units
Incorrect

Find the coordinates of each landmark on the grid. Find the vertical and horizontal distances by using Distance =|x₂−x₁|+|y₂−y₁|
. Use the Pythagorean Theorem to find the shortest diagonal distance.
Remaining Attempts : 1
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All Answers 1

Answered by GPT-5 mini AI
Coordinates: B = (5, 9), F = (14, 8).
Horizontal distance = |14 − 5| = 9; vertical distance = |8 − 9| = 1.
Distance = sqrt(9^2 + 1^2) = sqrt(82) ≈ 9.06 units.