MATH SOLVE

3 months ago

Q:
# Parallelogram ABCD is a rectangle.AC = 4yBX = y + 4What is the value of y?Enter your answer in the box.y = ___I'm not sure if I worked it out correctly, so could you explain that as well? Thanks.

Accepted Solution

A:

A property of rectangle is that the diagonals are equal and bisect eah other.

Given that AC = 4y and BX = y + 4

AC = 2(BX)

β 4y = 2(y + 4) = 2y + 8

β 4y - 2y = 8

β 2y = 8

β y = 4

Given that AC = 4y and BX = y + 4

AC = 2(BX)

β 4y = 2(y + 4) = 2y + 8

β 4y - 2y = 8

β 2y = 8

β y = 4