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Home > MC2 > Chapter 9 > Lesson 9.2.3 > Problem 9-68

9-68.
  1. Hank is planning his vegetable garden. He has created the scale drawing below. He is planning for the actual area for the tomatoes to be 12 feet by 9 feet. All angles are right angles. Homework Help ✎

    1. How many feet in the garden does each inch on the drawing represent?

    2. What are the length and width of the herb garden on the drawing in inches?

    3. What are the length and width of the real herb garden in feet?

    4. What is the area of the real herb garden (in square feet)?

    5. Remember that there are 12 inches in one foot. If Hank measures the real herb garden in square inches instead of square feet, what will its area be?

If the actual area for the tomatoes is 12 feet by 9 feet, and the scaled drawing is 2 inches by 1.5 inches, you can write a ratio comparing the lengths of the actual garden to the lengths of the scaled drawing.

Solve for x.

x = 6 feet

Since you already know the length of the Herb Garden, all you need to do is find the width.

By examining the diagram, you can tell that the width of the herb garden is the width of the zucchini subtracted from the width of the tomatoes.

In (b), you found that the length and width of the herb garden is 1.5 in by 1 in.
Using the scale factor found in (a), what are the length and width of the real herb garden?

9 ft by 6 ft

The area of a rectangular figure is its width multiplied by its height.

54 sq ft

First convert the dimensions of the real herb garden into inches by using the ratio 12 in:1ft.

9 ft by 6 ft → 108 in by 72 in

How can you use a figure's dimensions to find its area? See (d).