Question

area relay race problems
6.) victorias garden has a rectangular shape.
she wants to plant grass in the unshaded
region below.
14 ft.
18 ft.
25 ft.
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: Find semicircle radius

$\text{Radius} = \frac{14}{2} = 7$ ft.

Step3: Calculate semicircle area

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

Step4: Calculate triangle area

$\text{Area}_{\text{triangle}} = \frac{1}{2} \times 14 \times (18 - 7) = \frac{1}{2} \times 14 \times 11 = 77$ sq. ft.

Step5: Calculate shaded total area

$\text{Area}_{\text{shaded}} = 76.93 + 77 = 153.93$ sq. ft.

Step6: Calculate unshaded area

$\text{Area}_{\text{unshaded}} = 450 - 153.93 = 296.07$ sq. ft.

Answer:

296.07 square feet