Question

The perimeter of the rectangle below is 84 units. Find the length of side VW.

Write your answer without variables.

Answer 1

18.

Explanation:

1) formula of the perimeter given in the condition is:

p=2(VW+XV) or p=2(VY+XY).

Note, VW=XY and XV=VY;

2) if to substitute p=84, VW=2z+2 and XV=3z into the formula above, then

2(2z+2+3z)=84, ⇔ 5z+2=42; ⇒ z=8.

3) if z=8, then VW=2z+2=2*8+2=18.