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A rectangle has a length of (3x - 4) units and a width of (2x + 3) units.

 

What is the perimeter of the rectangle in terms of x?

 

A. (5x - 2) units

 

B. (5x + 14) units

 

C. (10x-2) units

 

D. (10x + 14) units

 Jan 9, 2020
 #1
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+3

Hint: 

We know that the perimeter of a rectangle is \(2*(length+width)\) -why? (The perimeter is the sum of the outer lines of a figure, I.e. not the inside unlike area, so we add all lines)  Since rectangle has 2 lengths and 2 widths thus adding a length and a width and multiply it by 2 is  a correct formula.

 

 

 

Solution

given length=3x-4

given width=2x+3

Finding perimeter is just applying the rule,

2(3x-4+2x+3)

simplify the bracket

2(5x-1)=10x-2 

So C. is the correct choice.

 Jan 9, 2020
 #2
avatar+49 
+3

Remember that the formula for perimeter is 2L+2W. In this case, that would be 2(2x-4)+2(2x+3). If you add those numbers, you get the perimeter as 10x-2. So, the answer is C.

 Jan 9, 2020

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