Question

6.) victorias garden has a rectangular shape. she wants to plant grass in the unshaded region below. what is the area of the garden not covered with grass? use 3.14 for π.

Explanation:

Step1: Calculate rectangle area

$\text{Area}_{\text{rectangle}} = 25 \times 18 = 450$ sq. ft.

Step2: Calculate semicircle area

Radius $r = \frac{14}{2} = 7$ ft.
$\text{Area}_{\text{semicircle}} = \frac{1}{2} \times 3.14 \times 7^2 = \frac{1}{2} \times 3.14 \times 49 = 76.93$ sq. ft.

Step3: Calculate triangle area

$\text{Area}_{\text{triangle}} = \frac{1}{2} \times 14 \times 18 = 126$ sq. ft.

Step4: Total unshaded area sum

$\text{Area}_{\text{unshaded}} = 76.93 + 126 = 202.93$ sq. ft.

Answer:

202.93 square feet