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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

Respuesta :

chloephillips125

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

aachen

Answer:

Option D [tex]4x+14[/tex]

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 [tex]x+7[/tex]

We know that the perimeter of the rectangle is [tex]2(\text{length}+\text{breadth})[/tex]

So, the expression for the perimeter

[tex]=2(x+x+7)[/tex]

[tex]=2(2x+7)[/tex]

[tex]=4x+14[/tex]

Hence, the expression for perimeter is [tex]4x+14[/tex].

So, option D is correct.

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