Question

=O LINEAR EQUATIONS AND INEQUALITIESFinding a side length given the perimeter and side lengths with...The perimeter of the rectangle below is 176 units. Find the length of side QR.Write your answer without variables.S3y + 1R4y + 3QR = 0P

Answer 1

We have a rectangle of perimeter of 176 units.

The perimeter is equal to two times the sum of length and width, so we can write and solve for y as:

`\begin{gathered} P=176 \\ 2(L+W)=176 \\ 2(3y+1+4y+3)=176 \\ 2(7y+4)=176 \\ 7y+4=(176)/(2) \\ 7y+4=88 \\ 7y=88-4 \\ 7y=84 \\ y=(84)/(7) \\ y=12 \end{gathered}`

Now we have to calculate the length of QR:

`\begin{gathered} QR=SP=4y+3 \\ QR=4(12)+3 \\ QR=48+3 \\ QR=51 \end{gathered}`

Answer: QR = 51