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Allisa [31]
3 years ago
11

The school is trying to paint one side of the curved dividers as shown below for the computer lab. The can of paint is able to c

over an area of 25ft^2. Will this be enough paint? Select the best answer.
Screenshot of diagram: http://prntscr.com/j99t13
Mathematics
1 answer:
larisa86 [58]3 years ago
3 0
We do not have straight sides so we need to use integration to solve this problem.

We will use <span>method of vertical strips.
</span>We divide the area A into thin vertical strips of width dx, height y2-y1<span> and integrate from x1 to x2.
</span>Assuming that lower left angle of dividers is in position (0,0) we have:
y2=3
y1=0
x1=0
x2=8

A= \int\limits^8_0 {(3-0)} \, dA \\  \\ A= \int\limits^8_0 {3} \, dA \\  \\ A=3*8-3*0=24 ft^{2}

Area is lower than 25ft^2 so <span>the can of paint is able to cover an area.</span>
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