Answer:
Option D ![4x+14](https://tex.z-dn.net/?f=4x%2B14)
Step-by-step explanation:
Given: The longer sides are 7 units longer than the shorter sides. The shorter side is x.
To find: Write an expression below that represents the perimeter.
Solution: It is given that the shorter side is x.
The longer side is 7 units longer than the shorter side. So, the longer side is
We know that the perimeter of the rectangle is ![2(\text{length}+\text{breadth})](https://tex.z-dn.net/?f=2%28%5Ctext%7Blength%7D%2B%5Ctext%7Bbreadth%7D%29)
So, the expression for the perimeter
![=2(x+x+7)](https://tex.z-dn.net/?f=%3D2%28x%2Bx%2B7%29)
![=2(2x+7)](https://tex.z-dn.net/?f=%3D2%282x%2B7%29)
![=4x+14](https://tex.z-dn.net/?f=%3D4x%2B14)
Hence, the expression for perimeter is
.
So, option D is correct.