Parallelograms Application Problem

Saira is putting solar panels on the roof of her house so she can become more energy efficient. She has sketched a picture of what she wants the solar panels to look like. Assuming the picture is to scale, what shape is each solar panel? [blank_start]parallelogram[blank_end]

Saira looked up the dimensions of each solar panel and drew the dimensions on her picture, as shown. She wants to know the dimensions of the large solar panel, once she assembles it and puts all six panels together. What is the length of the left side? [blank_start]20[blank_end] meters What is the length of the right side? [blank_start]20[blank_end] meters What is the length of the top? [blank_start]45[blank_end] meters What is the length of the bottom? [blank_start]45[blank_end] meters

After finding the overall dimensions, Saira realized that the solar panels were not going to fit on her roof. She didn't want to downsize because six solar panels was the minimum number she needed to power her home. Thankfully, Saira lived on a lot of land and could put her solar panels in a field. In order to put them in the field, she needed to custom order supports. These supports were custom made based on the angles of the four corners. The manufacturer gave Saira the precise angle measurement of the top left corner. This corner was 128.5 degrees as shown in the picture. What is the angle measurement of... ...the top right corner? [blank_start]51.5[blank_end] degrees ...the bottom right corner? [blank_start]128.5[blank_end] degrees ...the bottom left corner? [blank_start]51.5[blank_end] degrees

Once assembled, the manufacturers recommend putting special tape over the solar panels as protection. The tape should be in an X pattern, from corner to corner. This is shown in the picture. Saira has some of the measurements needed. What is the total amount of tape, rounded to the nearest hundredth meter, that Saira would need to purchase to make the X pattern on her solar panels? [blank_start]271.82[blank_end] meters The company Saira bought the solar panels from sells the tape for $30 for a small roll and $450 for an industrial roll. The small roll has 50 meters of tape and the industrial roll has 2,000 meters. Seeing the amount that Saira needs from the last question, and assuming Saira has no use for the leftover tape, is it more economical for Saira to buy small rolls or industrial rolls? [blank_start]small[blank_end]