Answer:
The width of the rectangle=21 inches
Step-by-step explanation:
Step 1: Determine the dimensions of the rectangle
Width=w
Length=l
But;
triple width=length+36
3×w=l+36
3 w=l+36
The length can be expressed as;
l=3 w-36
width=w
length=3 w-36
Step 2: Determine the perimeter of the rectangle
P=2(L+W)
where;
P=perimeter
L=length
W=width
In our case;
P=96 inches
W=w
L=3 w-36
replacing;
2(w+3 w-36)=96
2(4 w-36)=96
8 w-72=96
8 w=96+72=168
8 w=168
w=168/8=21
The width of the rectangle=21 inches
