Question

(7.G.A.1) A blueprint of a rectangular garden has a scale of 1 inch = 4 feet. The blueprint shows the garden as 3 inches wide and 5 inches long. If the actual garden is doubled in size, what will be the new length of the garden?
(4 Points)

20 feet

30 feet

40 feet

50 feet

Answer 1

To determine the new length of the garden after it is doubled in size, we first need to convert the dimensions from the blueprint to actual dimensions using the given scale.

The blueprint dimensions are:
- Width: 3 inches
- Length: 5 inches

Using the scale of 1 inch = 4 feet:
- Actual Width = 3 inches × 4 feet/inch = 12 feet
- Actual Length = 5 inches × 4 feet/inch = 20 feet

Now that we have the actual dimensions of the garden (12 feet wide and 20 feet long), we can find the new length after doubling the size.

If the garden is doubled in size, both dimensions are multiplied by 2:
- New Length = 20 feet × 2 = 40 feet

Thus, the new length of the garden will be **40 feet**.