Question

The ratio of triangle BOY to triangle GRL is 1:2. If BO=x+3 and GRL=3x-1, then the length of GR is

explain the math behind it please and thank you

A.5
B.7
C.10
D.20

Answer 1

Answer: B. 7

The ratio of the two triangles indicates that BOY is 1/2 the size of GRL. Therefore, the ratio of the sides of the triangles is also 1:2. Since the length of BO is given as x + 3, this means that the length of GR must be 2(x + 3) - 1 = 2x + 5. Therefore, the length of GR is 7.