Exercises 141–143 will help you prepare for the material covered ...

Question

Exercises 141–143 will help you prepare for the material covered in the next section.

If the width of a rectangle is represented by x and the length is represented by x + 200, write a simplified algebraic expression that models the rectangle's perimeter.

Accepted Answer

Hello today we're going to be solving a word problem. So the problem states that a triangle has length of its 1st, 2nd and 3rd side represented by X. X plus 50 and X plus 75 respectively which of the following represents its perimeter. So we need to go ahead and draw a triangle first and we are told that the sides are represented by X. X plus 50 and X plus 75. So since we don't know what type of triangle this is we can assign these quantities to any side of the triangle. So I'll let this side be X. This side BX plus 50 And this side BX- Plus 75. Now we are asked to find its perimeter and the perimeter of the shape is just going to be all the lengths added together. So we just need to go ahead and take the sum of all the side links meaning we are going to take the three quantities and add them together. So the perimeter is going to equal to X plus the quantity X plus 50 plus the quantity X plus 75. And now what we need to go ahead and do is simplify this while since this is a total sum we don't need these parentheses here. So I can represent the perimeter as X plus X plus 50 plus X plus 75. And I'm gonna go ahead and combine the like terms we have three instances of X. So we can go ahead and add those together to give us three X. And we have 50 plus 50 plus 75 is going to give us 125. Now keep in mind we don't know what the perimeter is and we don't know what X is. So our solution is going to be an equation. So perimeter is equal to three X plus 125. And that means that the answer to this problem is going to be be So. I hope this video helps you in understanding how to solve this type of word problem and I'll go ahead and see you all in the next video.

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Exercises 141–143 will help you prepare for the material covered in the next section. If the width of a rectangle is represented by x and the length is represented by x + 200, write a simplified algebraic expression that models the rectangle's perimeter.