High School

We appreciate your visit to A house owner wishes to cover their roof with solar panels Each solar panel is of the following size The roof section is rectangular measuring. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A house owner wishes to cover their roof with solar panels. Each solar panel is of the following size:

- The roof section is rectangular, measuring 7.2 m by 4.4 m.
- Each solar panel measures 1400 mm by 850 mm.

There needs to be at least a 30 cm gap left at each edge of the roof section. The house owner thinks he can have at least 15 solar panels fitted to the roof section.

Can you agree? If yes, show the working. (Hint: He can rotate the solar panel.)

Answer :

Answer:

Yes

Step-by-step explanation:

The roof is Rectangular :

Dimension of roof section : 7.2 m by 4.4 m

Area of roof = length * width

Area of roof = 7.2 * 4.4 = 31.68 m²

Dimension of solar panels = 1400 mm by 850 mm

Converting to m:

1000mm = 1 m

1400/1000 by 850/1000 = 1.4 m by 0.85 m

Area each solar panel = 1.4 * 0.85 = 1.19 m²

Gap left at each edge :

30cm gap about the 4 edges gives a square with side length 30cm:

30cm = 30/100 = 0.3m

Area of gap left = 0.3² = 0.09 m²

Total area that can be covered = (31.68 - 0.09) m² = 31.59 m²

Maximum number of panels that can be placed on roof section :

Total area that can be covered / area of panel

31.59 m² / 1.19 m²

= 26.54 panels

Thanks for taking the time to read A house owner wishes to cover their roof with solar panels Each solar panel is of the following size The roof section is rectangular measuring. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada