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saul85 [17]
3 years ago
9

There is a room that has 5 walls.

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
4 0

Answer:

8.32 gallons of paint is needed.

Step-by-step explanation:

We have that the room has 5 walls with dimensions,

Height = 8.5 feet

Lengths = 52, 52, 30, 35 and 6 feet respectively.

As the walls are in rectangle form, and 'Area of a rectangle = Length × Height'

So, the area of the walls are,

A₁ = 52 × 8.5 = 442 ft²

A₂ = 52 × 8.5 = 442 ft²

A₃ = 30 × 8.5 = 225 ft²

A₄ = 35 × 8.5 = 297.5 ft²

A₅ = 6 × 8.5 = 51 ft²

Thus, total area of the walls = 442 + 442 + 225 + 297.5 + 51 = 1457.5 ft²

Since, 175 ft² is covered by \frac{1}{2} gallons of paint.

Then, 1457.5 ft² is covered by \frac{1}{2\times 175}\times 1457.5 i.e. \frac{1457.5}{350} i.e. 4.16 gallons of paint.

For 2 coats of paints on all walls, we need 4.16 × 2 = 8.32 gallons of paint.

Hence, 8.32 gallons of paint is needed.

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