The formula for the surface area s of a cylinder is s=2nr2+2rh
were h is the height of the cylinder and r is the radius of the base of the cylinder

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Ответ:

ariellencevallo

10.01.2023

Mathematics

Length is 13

and width is 8

Step-by-step explanation:

we have to use the following formula here,

perimeter of rectangle=2(length+width)

So, here we get

$2(\frac{1}{2} x+5+ \frac{1}{4} x+4)=42\\ or, 2(\frac{1}{2} x +\frac{1}{4} x+9)=42\\or, x+\frac{x}{2} +18=42\\or, \frac{2x+x}{2}=42-18 \\or, \frac{3x}{2} =24\\or, 3x=48\\or, x=\frac{48}{3} =16$

So,

length= $\frac{1}{2} (16)+5=8+5=13$

width= $\frac{1}{4} (16)+4=4+4=8$

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The formula for the surface area s of a cylinder is s=2nr2+2rh were h is the height of the cylinder and r is the radius of the base of the cylinder