Help with the task by solid geometry

[HarlanHill]

Hi friends!

I got the following assignment in college.
In parallelogram PQSR, what is PQ?
(2x + 5) cm

a) 2 cm
b) 5 cm
c) 6 cm
d) 9 cm

I will be very grateful for your help in solving it.

[OceanBreeze]

On 5/27/2022 at 11:49 AM, JeffreysTubes8 said:

Hi Harlan 👋 

 

this problem takes me back to basics. One of the most simple problems was to get rise over run of -5/2 and when you have PQ in that sort of parallelogram with sums 2.5 obvs it’s 5 or b)

Back to basics is where you belong. Your answer is silly.

[OceanBreeze]

On 5/26/2022 at 5:07 PM, HarlanHill said:

Hi friends!

I got the following assignment in college.
In parallelogram PQSR, what is PQ?
(2x + 5) cm

a) 2 cm
b) 5 cm
c) 6 cm
d) 9 cm

I will be very grateful for your help in solving it.

In parallelogram PQSR, what is PQ?

You have only given us the fact that PQ = (2x + 5) cm

That is not enough information to solve the problem.

You must also give the value of RS.

We know that opposite sides of a parallelogram are equal in magnitude.

So, PQ = RS and PR = QS

A typical problem statement might be PQ = (2x + 5) cm and RS = (4x + 1) solve for PQ

Then, since PQ = RS

The solution is very simple:

2X + 5 = 4x + 1

Then, 5 = 2x + 1 and 2X = 4

x = 2, so 2x + 5 = 9 cm

side PQ = 9 cm Ans.

It is a very simple problem when you provide all of the information!