Answer: D
Step-by-step explanation:
To find the perimeter of the square, you want to first find the length of each side. Since the figure is a square, we know that each side is equal to each other. We can set the expressions equal to each other to find x.
[tex]\frac{3}{4}x-1=\frac{1}{2}x+7[/tex] [subtract both sides by 1/2x]
[tex]\frac{1}{4}x-1=7[/tex] [add both sides by 1]
[tex]\frac{1}{4}x=8[/tex] [multiply both sides by 4]
[tex]x=32[/tex]
Now that we know x, we can plug it into each expression to find teh length of each side.
[tex]\frac{3}{4}(32)-1[/tex] [multiply]
[tex]24-1[/tex] [subtract]
[tex]23[/tex]
Now that we know each side is equal to 23, we can add all the sides together to find the perimeter.
23+23+23+23=92 or 23×4=92
Since we know that the perimeter is 92 units, the answer is D.
