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Answer :
Final answer:
Nina will need 5 litres of paint to cover the new wall, which is determined by setting up a proportion based on the area covered by the original amount of paint.
Explanation:
To determine how much paint Nina would need for the larger wall, we first need to calculate the area of both the original wall and the new wall. The original wall's area is 2 metres high multiplied by 4 metres wide, giving us 8 square metres. Nina used 2 litres of paint for this area. The new wall's area is 2.5 metres high multiplied by 8 metres wide, equating to 20 square metres.
So, if 8 square metres require 2 litres of paint, we can set up a proportion to find the amount of paint needed for 20 square metres. Solving this, we get:
2 litres / 8 square metres = x litres / 20 square metres
Cross-multiplying to solve for x gives us:
x = (2 litres × 20 square metres) / 8 square metres
x = 40 litres / 8
x = 5 litres
Therefore, Nina will need 5 litres of paint to cover the new wall.
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