Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

The perimeter of a rectangle is 100 inches. If the length of the rectangle is (3x + 5) inches, and the width is (x – 9) inches. Find the value of x. P = 2l + 2w

Enter your answer as an integer or decimal.

x =

Sagot :

prachidhruw07

Answer:

value of x is 13.5 inches.

hope this answer helps you dear....take care!

perimeter = 2l + 2b too and it is also

2 ( l + b )

→ 2l + 2b

breadth and width are same!

View image prachidhruw07
MrRoyal

The perimeter of a rectangle is the sum of all sides of the rectangle. The value of x in the given rectangle is 13.5

Given that:

[tex]L = 3x + 5[/tex] --- Length

[tex]W = x - 9[/tex] --- Width

[tex]P = 100[/tex] --- Perimeter

We have:

[tex]P = 2l + 2w[/tex]

So, the expression becomes

[tex]100 = 2 \times(3x + 5) + 2 \times (x - 9)[/tex]

Divide through by 2

[tex]50 = 3x + 5 + x - 9[/tex]

Collect like terms

[tex]3x + x = 50 - 5 + 9[/tex]

[tex]4x = 54[/tex]

Divide through by 4

[tex]x = 13.5[/tex]

Hence, the value of x is 13.5

Read more about perimeters at:

https://brainly.com/question/4074407

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.