Question

Here is a scale map of Lafayette Square, a rectangular garden north of the White House.

The map shows a scale measure that represents 0, 100, and 200 feet.

The scale is shown in the lower right corner. Find the actual side lengths of Lafayette Square in feet.

Use an inch ruler to measure the line segment of the graphic scale. About how many feet does one inch represent on this map?

Answer 1

The map uses scale ratios to represent actual distance.

• The actual side lengths of the Lafayette Square is 500ft by 800ft
• 1 inch represents 200 feet on the map

From the diagram (see attachment), we have:

$\mathbf{Length = 2.5\ in}$

$\mathbf{Width = 4\ in}$

The scale ratio is given as:

$\mathbf{Scale : Actual = 1 in: 200ft}$

So, the actual length is:

$\mathbf{Length = 2.5 \times 200ft}$

$\mathbf{Length = 500ft}$

And the actual width is:

$\mathbf{Width = 4 \times 200ft}$

$\mathbf{Width = 800ft}$

Hence, the actual side lengths of the Lafayette Square is 500ft by 800ft

Recall that:

$\mathbf{Scale : Actual = 1 in: 200ft}$

This means that:

1 inch represents 200 feet on the map

Read more about map scales at:

https://brainly.com/question/20787010