Question

Quadrilateral ABCD is a rectangle. If AG = -7j + 7 and DG = 5j + 43

find BD

A. 56
B. -3
C. 14
D. 28

Answer 1

A. 56

Explanation:

The 4 pieces formed by the intersect of diagnal of rectangle has the same length

AG = GC = DG = GB

-7j + 7 = 5j + 43

- 12j = 36

j = -3

DG = 5 x (-3) + 43 = 28

BD = 2 x 28 = 56