Question

For rectangle GHKJ, the diagonals intersect at point W. If GK = 11a + 3 and HJ = 13a - 11, what is JW?

Answer 1

To find JW in rectangle GHKJ, we use the fact that the diagonals are congruent and bisect each other.

Step-by-step explanation:

To find the length of JW, we need to determine the relationship between the sides of rectangle GHKJ. In a rectangle, the diagonals are congruent and bisect each other. So, we can set up an equation using the given side lengths:

GK = 11a + 3

HJ = 13a - 11

Since the diagonals bisect each other, JW is half the length of HJ. So, we can set up the equation:

JW = (1/2)(13a - 11)

Simplifying, we get:

JW = 6.5a - 5.5