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# Solar Panelling a House

A homeowner wishes to cover their roof with solar panels.

Their roof can be modelled as a prism with volume 24m3

The height of the triangular cross section is h.

If solar panels can only be placed on the 2 rectangular sections of the roof

a) Work out the area of roof that could be covered by solar panels. Give your answer to 2.s.f.

[4 marks]

A company provides solar panels that are 1.5m long and 1.0m high and cost £200 each, including installation.

b) If this is the only size of solar panels available, how much will it cost the homeowner to buy and install them?

[3 marks]

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