The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is \(2l + 2w = 16\), where \(l\) represents the length of the rectangle and \(w\) represents the width of the rectangle. Which value is possible for the length of the rectangle?
Answer (2)
The student has provided the perimeter equation for a rectangle, 2l + 2w = 16, and is looking for a possible value for the length of the rectangle. To find a possible length, we can assume a value for w , the width, and calculate the corresponding length. Let's say the width is 2 inches. Substituting w = 2 into the equation we get 2l + 2(2) = 16, which simplifies to 2l + 4 = 16. Subtracting 4 from both sides, we get 2l = 12 and dividing both sides by 2, we find l = 6. Therefore, a possible value for the length of the rectangle is 6 inches.
Possible values for the length of a rectangle with a perimeter of 16 inches can be calculated from the equation 2 l + 2 w = 16 . For example, if the width is 2 inches, then the length can be 6 inches. Other combinations can also yield valid lengths as long as they sum with the width to equal 8 inches.
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