isabelbean200649
Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Parallelogram P Q S R is shown. The length of P Q is (4 x minus 1) centimeters and the length of R S is (3 x + 7) centimeters.
The perimeter of parallelogram PQSR is 74 cm. What is QS?

4 cm
6 cm
8 cm
12 cm

Sagot :

MrRoyal

The opposite sides PQ and RS of the parallelogram PQRS are congruent

The value of the length QS is 6 cm

How to determine the length QS?

The given parameters are:

PQ = 4x - 1

RS = 3x + 7

Opposite sides are congruent.

So, we have:

4x - 1 = 3x + 7

Collect like terms

4x - 3x = 1 + 7

Evaluate the expressions

x = 8

The perimeter is calculated using:

Perimeter = 2(QS + RS)

This gives

2(QS + RS) = 74

Divide by 2

QS + RS = 37

Substiute RS = 3x + 7

QS + 3x + 7 = 37

Substitute 8 for x

QS + 3*8 + 7 = 37

This gives

QS + 31 = 37

Subtract 31 from both sides

QS = 6

Hence, the value of the length QS is 6 cm

Read more about parallelograms at:

https://brainly.com/question/2844650

Answer:

6cm or b

Step-by-step explanation:

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.