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 =

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Prachidhruw07id Prachidhruw07id · Answer 1

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!

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MrRoyalid MrRoyalid · Answer 2

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