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william is painting the side of his house. he has 8 litres of paint and…

Question

william is painting the side of his house. he has 8 litres of paint and each litre of paint covers 16m² does william have enough paint? 4m 10m 15m your answer

Explanation:

Step1: Calculate area of rectangle

The rectangular part has length \( 15m \) and height \( 10 - 4 = 6m \) (since total height is \( 10m \) and triangle height is \( 4m \)). Area of rectangle: \( 15\times6 = 90m^2 \)

Step2: Calculate area of triangle

The triangular part has base \( 15m \) and height \( 4m \). Area of triangle: \( \frac{1}{2}\times15\times4 = 30m^2 \)

Step3: Total area of the side

Add area of rectangle and triangle: \( 90 + 30 = 120m^2 \)

Step4: Calculate paint coverage

William has \( 8 \) litres, each covering \( 16m^2 \). Total coverage: \( 8\times16 = 128m^2 \)

Step5: Compare areas

Since \( 128 > 120 \), the paint is enough.

Answer:

Yes, William has enough paint.