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:

Option D $4x+14$

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 $x+7$

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.

Answer 2

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