Question

In a given rectangle, the longer sides are 7 units longer than the shorter sides. If we let the shorter sides be represented as x, write an expression below that represents the perimeter.

A
2x + 7

B
4x2 + 49

C
4x + 49

D
4x + 14

Answer 1

Answer: D because the two longer sides are 7 unites longer, meaning you need to add 14 (7x2) to the final product

Answer 2

Option D
`4x+14`

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
`x+7`

We know that the perimeter of the rectangle is
`2(\text{length}+\text{breadth})`

So, the expression for the perimeter

`=2(x+x+7)`

`=2(2x+7)`

`=4x+14`

Hence, the expression for perimeter is
`4x+14`.

So, option D is correct.