Question

select the correct answer.
nancy is planting cucumbers in a small garden. before planting, nancy adds a layer of soil to the garden.
approximately how many square feet is needed to cover the garden with a layer of soil?
a. 98
b. 73.5
c. 49
d. 147

Explanation:

Step1: Identify triangle type

This is a right isosceles triangle (two 45° angles, one 90° angle; legs are equal, hypotenuse = 14 ft).

Step2: Find leg length

For right isosceles triangle, hypotenuse $c = a\sqrt{2}$, so leg $a = \frac{c}{\sqrt{2}} = \frac{14}{\sqrt{2}} = 7\sqrt{2}$ ft.

Step3: Calculate area

Area of triangle: $\frac{1}{2} \times a \times a$. Substitute $a = 7\sqrt{2}$:
$\frac{1}{2} \times (7\sqrt{2})^2 = \frac{1}{2} \times 49 \times 2 = 49$ square feet.

Answer:

C. 49