Question

pqrs is a quadrilateral with diagonals pr and sq intersecting each other at o. if po= x+y, or=22cm, qo=x+4 and os=12cm, find x and y so that pqrs is a parallelogram

Answer 1

x = 8 cm

y = 14 cm

Explanation:

If the quadrilateral is a parallelogram, the diagonals have an intersection that cuts each one in half, so we have that po = or and qo = os:

x + y = 22

x + 4 = 12

First we can find the value of x with the second equation:

x + 4 = 12

x = 8 cm

Then, we can find the value of y with the first equation:

x + y = 22

8 + y = 22

y = 14 cm