Question

Given parrallelogram PQRS, if ST = 5x + 1 and TQ = 2(x + 5), calculate SQ.

Answer 1

32

Explanation:

First you need to know that side length ST and TQ are equal because of the properties of parallelograms.

So, we set the two equations equal to each other.

5x + 1 = 2 ( x + 5 )

5x + 1 = 2x + 10 (distributive property)

3x = 9

x = 3

Now we know what x equals, we can substitute this value into one of the side lengths.

5(3) + 1 = ST

ST = 15 + 1

ST = 16

Now since SQ = ST + TQ, and ST = TQ, we can say that SQ = 16 x 2 = 32