Question

A scale drawing of a rectangular park measures 6.5 inches long and 4 inches wide. if the scale used for the drawing is 2 inches equals 5 yards, what is the actual length of the park?

Answer 1

Using the scale that 2 inches equals 5 yards, the actual length of the park is calculated to be 16.25 yards by setting up a proportion and solving for the missing value.

Step-by-step explanation:

To find the actual length of the park, we will use the given scale of the drawing. The scale states that 2 inches on the drawing corresponds to 5 yards in real life. Given that the drawing of the park measures 6.5 inches in length, we can set up a simple proportion to calculate the actual length.

First, we establish the ratio given by the scale:

• 2 inches (drawing) / 5 yards (actual)

Then, we use the length of the park from the drawing to find the actual length:

• 6.5 inches (drawing) / X yards (actual)

Setting up the proportion, we have:

• 2 inches / 5 yards = 6.5 inches / X yards

Now we solve for X to find the actual length:

• (2 inches / 5 yards) = (6.5 inches / X yards)
• X = (6.5 inches * 5 yards) / 2 inches
• X = 32.5 yards / 2
• X = 16.25 yards

Therefore, the actual length of the park is 16.25 yards.

Answer 2

Simple arithmetic.

If 2 inches = 5 yards

Then 6.5 inches = X

Hence X = (6.5 * 5)/2 = 16.25 yards.

Also If 2 inches = 5 yards

Then 4 inches = X

Hence X = (4 * 5)/ 2 = 10 yards.

So the actual length of the park is 16.25 yards long and 10 yards wide.