In parallelogram PQSR, what is PQ? (2x+5)cm a) 2 cm b) 5 cm c) 6 cm d) 9 cm

Question

In parallelogram PQSR, what is PQ?  (2x+5)cm  a) 2 cm  b) 5 cm  c) 6 cm  d) 9 cm

turtletalk75 · Accepted Answer

Step 1&amp;nbsp;We are aware that the parallelogram&#039;s opposing sides are equal in size.So,&amp;nbsp;PQ=RS&amp;nbsp;and&amp;nbsp;PR=QS&amp;nbsp;Step 2&amp;nbsp;Here Given,&amp;nbsp;PQ=2x+5&amp;nbsp;RS=4x+1&amp;nbsp;and from parallelogram properties&amp;nbsp;PQ=RS&amp;nbsp;⇒2x+5=4x+1&amp;nbsp;⇒2x=4&amp;nbsp;⇒x=2&amp;nbsp;Now,&amp;nbsp;PQ=2x+5=2×(2)+5=9&amp;nbsp;So,&amp;nbsp;PQ=9cm&amp;nbsp;Option D is true

scoollato7o · Accepted Answer

Step 1
One of the rules for a parallelogram is that opposite sides are congruent.
so, all you need to do is set up the equation which is

2 x + 5 = 4 x + 1

move 2x to other side (meaning subtract 2x from both sides) to get

5 = 2 x + 1

move 1 to other side to get

4 = 2 x

divide both sides by 2 to get

2 = x

now all you need to do is plug it in the equation for PQ which is

2 (2) + 5

to get 9

In parallelogram PQSR, what is PQ? (2x+5)cm a) 2 cm b) 5 cm c)

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