Question

in this section, you’ll understand how to calculate the area and volume of shapes. while continuing to create content from the taco truck, you update your social media profile and streaming setup. customers are highly engaged online, and the truck keeps attracting new customers every day! the taco truck’s new social media profile includes an image that combines a rectangle and a semicircle, with dimensions shown in the diagram. what’s the total area of the shape?

Explanation:

Step1: Calculate rectangle area

Area = length × width
$\text{Area}_{\text{rectangle}} = 10 \times 6 = 60 \, \text{cm}^2$

Step2: Find semicircle radius

Radius = diameter $\div$ 2
$r = \frac{6}{2} = 3 \, \text{cm}$

Step3: Calculate semicircle area

Area = $\frac{1}{2} \pi r^2$
$\text{Area}_{\text{semicircle}} = \frac{1}{2} \times \pi \times 3^2 = \frac{9}{2}\pi = 4.5\pi \approx 14.14 \, \text{cm}^2$

Step4: Sum both areas

Total area = rectangle area + semicircle area
$\text{Total Area} = 60 + 4.5\pi$

Answer:

$60 + 4.5\pi$ square centimeters (or approximately $74.14$ square centimeters)