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allsm [11]
3 years ago
6

Solve this problem. Find the number of gallons of paint needed to cover all four sides four sides) of the building shown with tw

o coats of paint if one gallon covers 350 square feet. Disregard windows and doors. Round to the nearest gallon.

Mathematics
2 answers:
liraira [26]3 years ago
7 0
The complete question in the figure attached

1) calculate the area <span>all four sides
A=[12+9+12+9]*8=336 ft</span>²

if 1 gallons---------------------------- > covers 350 ft²
X------------------------------------ > 336 ft²
X=336/350=0.96 gallons
but remember 
<span>that there are two coats of paint
</span>therefore
0.96*2----------- > 1.92------- > 2 gallons

the answer is 2 gallons

eimsori [14]3 years ago
3 0

Answer: the answer is 3 gallons of paint is required to paint the building.

Step-by-step explanation:

The area to be painted is:

= 2× [Area of Rectangle with dimensions 20 ft.×10 ft.+Area of triangle with height 5 ft. and base 20 ft.+Area of rectangle with dimensions 24 ft. and 10 ft.]

=2×[20×10+(1/2)×5×20+24×10]

=2×[200+50+240]

=2×490

=980 square ft.

Hence, the area to be painted=980 square feet.

Now, amount of paint require to cover 350 square feet=1 gallon.

i.e. 1 square feet requires=1/350 gallon of paint.

⇒ 980 square feet requires=980/350=2.8 gallons of paint.

Hence, to the nearest gallon we could say that:

3 gallons of paint is required to paint the building.

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The remainder theorem tells you the remainder of f(x)/(x -3) is equal to f(3). Using x=3 in the expression, we have ...

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