Question

Name:

Quadrilateral ABCD is a rectangle.
A
B
I
D
5. If AG = -48 +24 and DG =9k + 102, find BD.
A. 96
B. -6
D. 48

Answer 1

As AG = DG

so -4k +24 = 9k + 102

=> -4k - 9k = 102-24

=> -13k = 78

=> k = -6

So the length of DG = -4k + 24 = 24 + 24 = 48

As BG+DG = 2DG = 2(48) = 96 (ans)

So no. c is correct

Hope it helps