Question

Find the value of x and y in the parallelogram below. the numbers are 58 and 24. the blanks that need to be figured out are 4x-4 and 2y-4.

Answer 1

In a parallelogram opposite sides are equal, so each algebraic side must match the given numeric side.

Match 4x − 4 with 24 and 2y − 4 with 58:

4x − 4 = 24
4x = 28
x = 7

2y − 4 = 58
2y = 62
y = 31

(If the expressions were paired the other way you would get x = 15.5 and y = 14, but the integer solution above is the usual intended one.)