Kyle is making a frame for a rectangular piece of art. The length of the frame is 3 times the width, as shown below. If Kyle uses 18 feet of wood to make the frame, what is the length of the frame?

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6.75 feet |

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Step-by-step explanation:

Let the width be x. If the width is x, the the length has to be 3x because in the question it says that the length is 3 times the width.

Since this is a rectangle, the opposite side has the same measure, like in the attachment below.

To find the perimeter, you would add up all the sides.

3x+3x+x+x

=6x+2x

=8x

It is also given in the question that he uses 18 feet. Which means that the perimeter is 18 feet. But you figured out that 8x is ALSO the perimeter. This means that you can say: 8x=18.

Solve for x, 18/8=9/4=2.25.

You want the length, which is 3x. So 3(2.25) is your answer.

3(2.25) = 6.75

answer: 590

step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.