4. Your article will be featured on the front page of the World section of the newspaper, as well as on-line. The article is to be placed in the shaded section below, which measures 4 inches wide by 9 inches long (not drawn to scale).
Your editor has stated that your graph is not to exceed 1/6 of the area of your article. How big (length and width in inches) should you make your graph?
(1/6)(4*9) = 6 square inches
It looks like your graph should be 2 by 3 inches.
Thank you Ms. Sue.
To determine the size of the graph, we need to calculate 1/6 of the area of the article.
First, let's find the area of the article. We are given that the shaded section measures 4 inches wide by 9 inches long. Thus, the area of the article is:
Area = width × length
Area = 4 inches × 9 inches
Area = 36 square inches
Next, we need to find 1/6 of the area of the article:
1/6 of the area = (1/6) × 36 square inches
1/6 of the area = 6 square inches
Now, we have determined that the graph should be no larger than 6 square inches.
The size of the graph will depend on its shape (length and width). Since we don't have any specific dimensions given for the graph, we can choose any shape that adheres to the size requirement.
For example, if we choose to make the graph in the shape of a square, we can calculate the side length as follows:
Side length = square root of (area of the graph)
Side length = square root of 6 square inches
Side length ≈ 2.45 inches (rounded to two decimal places)
Therefore, if the graph is in the shape of a square, each side should measure approximately 2.45 inches. However, if we choose a different shape for the graph, the dimensions will be different but should still adhere to the size requirement of 6 square inches.