Annie has a square garden bed that measures 2.8 meters on each side, and she plans to fill it with tomatoes and herbs. She decides to use one-quarter of the bed for tomatoes and the rest for herbs.

How much area does Annie have to plant herbs?

A.
0.49 square meters

B.
1.96 square meters

C.
4.41 square meters

D.
5.88 square meters

1 answer

To find out how much area Annie has to plant herbs, we first need to calculate the total area of her square garden bed.

The area \( A \) of a square is calculated using the formula:

\[ A = \text{side}^2 \]

Given that the side length of the garden bed is 2.8 meters, we can compute the total area:

\[ A = 2.8^2 = 7.84 \text{ square meters} \]

Next, Annie plans to use one-quarter of the bed for tomatoes. Therefore, the area allocated for tomatoes is:

\[ \text{Area for tomatoes} = \frac{1}{4} \times 7.84 = 1.96 \text{ square meters} \]

The area left for herbs will be the total area minus the area used for tomatoes:

\[ \text{Area for herbs} = 7.84 - 1.96 = 5.88 \text{ square meters} \]

Thus, the area that Annie has to plant herbs is:

D. 5.88 square meters