The length of a rectangular pool is 6 meters less than twice the ...

Question

The length of a rectangular pool is 6 meters less than twice the width. If the pool's perimeter is 126 meters, what are its dimensions?

Accepted Answer

So this problem says a market is located in the southern part of Moon City is a rectangular shape and has a link that is 12 m less than thrice its width. The perimeter of the market is 376 m. What are the length and width of the market? So we're gonna solve for W. And L. You know the perimeter of a rectangle is to go to the equation to L plus two W. You also know by The words that gives us is that we have a length that is 12 m less than thrice the width. So the length is going to be 12 m less than thrice the width or negative 12 plus three W. So let's go ahead and try and solve for one variables. If you look here, we have an L. We can substitute that into our primary equation. So I'm gonna rewrite my primary equation. We know a parameter that gives us 376 m. 3 76 it was two. Now you can substitute RL in negative 12 plus three W. And the final attack on our two W. At the end. Now we can distribute. So we distribute can sit there and go sit there, We get 376 equals 10-12 which is 24 plus three times +26 W plus two W. Now we can go ahead and combine our terms, we have 3 76 equals 24 6 W plus two W. Is A W. And now we can go ahead and add our 24 to both sides. Get rid of it on the right side. We kids 400 equals eight. W. Finally, with the software w by dividing both sides by 8s, we kid W equals 50. Now let's go ahead and use our W. To find the link. So based on our equation L equals negative 12 plus three W. We can use that W. We just found and plug it in. We have L equals negative plus three times 50. Simplify this. L is going to be negative 12 plus 150. R. L is going to be 138 as a result. So our L. S 1 38 R. W. S 50. So the answer to our problem is answer A. Okay, I hope to solve the problem. Thank you for watching. Goodbye.

The length of a rectangular pool is 6 meters less than twice the width. If the pool's perimeter is 126 meters, what are its dimensions?

Key Concepts

Perimeter of a Rectangle

Algebraic Expressions

Solving Linear Equations

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