CPM Homework Help : CC1 Problem 2-58

Ruth’s brother, Ethan, planted a garden for her as a surprise while she was away. He planted seeds for vegetables in $50\%$ of the garden. He also planted flowers and herbs.

The entire circle in the graph at right represents the area of Ruth’s garden. If the lightly shaded portion represents flowers, estimate what percentage of the garden could be herbs. Explain your estimate.

Hint:

Because the circle in the graph above represents the entire garden, the circle also represents $100\%$ . Now can you tell how much the two shaded portions of the graph represent together?

More Help:

The semicircle below represents $50\%$ of the garden Ethan planted for Ruth. If the blue line segment divides the $50\%$ section in half, each resulting half is $25\%$ of the entire garden. Can this help you estimate the percentage that the dark portion represents?

A semicircle to represent 50% of the garden Ethan planted for Ruth. If you divide the semi circle in half you get two sections of 25%. One of the unknown sections appear to be half of a quarter.

Answer:

The darkly shaded portion appears to be about $12.5\%$ of the circle. It is about one fourth of the remaining $50\%$ , so the garden was planted with about $12.5\%$ herbs.