SOLUTION: A rectangle has a perimeter of 100 inches. Its length is (7x + 2) and its width is (5x). What is the value of x and find the actual measurement of the length and width.

Question 218299: A rectangle has a perimeter of 100 inches. Its length is (7x + 2) and its width is (5x). What is the value of x and find the actual measurement of the length and width.
Found 2 solutions by solver91311, drj:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The perimeter of a rectangle is given by:

.

Making the appropriate substitutions:

Solve for and then substitute that value back into to find the length and to find the width.

John

Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
A rectangle has a perimeter of 100 inches. Its length is (7x + 2) and its width is (5x). What is the value of x and find the actual measurement of the length and width.

Step 1. Perimeter P means adding up all the sides of a rectangle.

Step 2. Let the Length L=7x+2 and width w=5x.

Step 3. Then, . Solving yields the following steps.

Subtract 4 from both sides of the equation

}

Divide 4 to both sides of the equation

, , w=5x=5*4=20

Check which is a true statement.

Step 4. ANSWER: The answer is x=4, length is 30 inches and width is 20 inches.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV
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