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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
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.
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