The Correct Answer and Explanation is:
To find the value of www in this parallelogram, we need to use the formula for the perimeter of a parallelogram: Perimeter=2×(length+width)\text{Perimeter} = 2 \times (\text{length} + \text{width})Perimeter=2×(length+width)
In this case:
- The length of the parallelogram is given as 2.2 feet.
- The perimeter is given as 7 feet.
Substitute the known values into the perimeter formula: 7=2×(2.2+w)7 = 2 \times (2.2 + w)7=2×(2.2+w)
Now, solve for www:
- Divide both sides of the equation by 2:
72=2.2+w\frac{7}{2} = 2.2 + w27=2.2+w 3.5=2.2+w3.5 = 2.2 + w3.5=2.2+w
- Subtract 2.2 from both sides to isolate www:
w=3.5−2.2w = 3.5 – 2.2w=3.5−2.2 w=1.3 feetw = 1.3 \, \text{feet}w=1.3feet
Thus, the value of www is 1.3 feet.
