Explanation<span>: We know that perimeter is the sum of all of the sides. Since this is rectangular, opposite sides are equal. This gives us y+11/8y+y+11/8y=190.
Combining like terms, we have 2y+22/8y=190.
Writing 22/8 as a mixed number, we have 2y+2 3/4y=190 4 3/4y=190.
Divide both sides by 4 3/4: (4 3/4y)</span></span>÷<span><span>(4 3/4)=190</span></span>÷<span><span>(4 3/4) y=190</span></span>÷<span><span>(4 3/4).
Convert the mixed number to an improper fraction: y=190</span></span>÷<span><span>(19/4).
To divide fractions, flip the second one and multiply: y=190*(4/19)=760/19=40.
Since y=40, 11/8y=11/8(40)=440/8=55.</span></span>