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A rectangle has an area of 243 square centimeters. Its length is 3 times its width. What are the dimensions of the rectangle?

User Vinhent
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1 Answer

18 votes
18 votes

Answer:

Length - 27 cm

Width - 9 cm

Explanation:

Here we go (hope this helps),

The area of the rectangle is 243. To get area, you do length x width. Your equation will look like this

3x (x) = 243

Simplify this using PEMDAS

3x^2 = 243

Next, you divide both sides by 3 to undo the times 3

x^2 = 81

Then, you take the square root of both sides to undo the squared symbol

x=9

Using this, you know the width is 9. Since the length is 3x the width, you know that 3 x 9 is 27 and you can clearly see that the dimensions are 9 and 27!

Have a great day! Hope this could help!

User Florian Hermann
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