A suncatcher has 6 sections. Each section is in the shape of a parallelogram witha base of 12 cm and a height of 8 cm. What is the total area of the sections?

576 cm²

Step-by-step explanation:

Given:

Number of sections in a suncatcher (n) = 6

Each section is in the shape of a parallelogram.

Base of parallelogram = 12 cm

Height of parallelogram = 8 cm

Now, area of a parallelogram is given as:

Area of parallelogram = Base * Height

Area of 1 parallelogram = 12 cm * 8 cm = 96 cm²

Now, there are 6 parallelogram shaped sections.

So, area of the sections = area of 1 section * total number of sections

∴ Area of 6 sections = 96 cm² * 6 = 576 cm²

Therefore, the total area of the sections of a suncatcher is 576 cm².