the correct question is
The ratio of the measures of three sides of a triangle is 1/4:1/3:1/6. its perimeter is 31.5 inches. Find the
measure of each side of the triangle
we know that
Just as the ratio 1/4:1/3:1/6 is equivalent to (1/4)x:(1/3)x:(1/6)x
so
31.5= (1/4)x+(1/3)x+(1/6)x------> 31.5=x*(6+8+4)/24-----> 31.5=18x/24
x=24*31.5//18-------> x=42 in
the answer is
the measure of each side is
(1/4)x------- (1/4)*42------> 10.5 in
(1/3)x------- (1/3)*42------> 14 in
(1/6)x------- (1/6)*42------> 7 in
