A rectangle with an area of 192 square meters has a length and width in a ratio of 3:1. What are the length and width?
2 answers:
Answer:
Step-by-step explanation:
let width=x
length=3x
area=3x×x=3x²
3x²=192
x²=192/3=64
x=√64=8
width=8 m
length=3×8=24 m
Answer:
<h2>
Length= 24 meter</h2><h2>
Width= 8 meter</h2>
Solution,
Let the length be 3x meter.
Let the width be X meter
Area of rectangle= 192 square metres
Now,
Area of rectangles= length * breath
![192 = 3x \times x \\ 192 = 3 {x}^{2} \\ {x}^{2} = \frac{192}{3} \\ x^{2} = 64 \\ x = \sqrt{64} \\ x = 8 \: meter](https://tex.z-dn.net/?f=192%20%3D%203x%20%5Ctimes%20x%20%5C%5C%20192%20%20%20%3D%20%203%20%7Bx%7D%5E%7B2%7D%20%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%20%3D%20%20%5Cfrac%7B192%7D%7B3%7D%20%20%5C%5C%20x%5E%7B2%7D%20%20%3D%2064%20%5C%5C%20x%20%3D%20%20%5Csqrt%7B64%7D%20%20%5C%5C%20x%20%3D%208%20%5C%3A%20meter)
<h3>
<u>Width</u><u> </u><u>=</u><u> </u><u>8</u><u> </u><u>meter</u></h3>
<u>Replac</u><u>ing</u><u> </u><u>value</u><u>,</u>
<h3>
Length= 3x</h3>
![\: \: \: 3 \times x \\ \: \: = 3 \times 8 \\ \: \: \: \: = 24](https://tex.z-dn.net/?f=%20%5C%3A%20%20%5C%3A%20%20%5C%3A%203%20%5Ctimes%20x%20%20%5C%5C%20%20%5C%3A%20%20%5C%3A%20%20%3D%20%203%20%5Ctimes%208%20%5C%5C%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%3D%2024)
<h3>
<u>Length</u><u>=</u><u> </u><u>2</u><u>4</u><u> </u><u>meter</u><u>.</u></h3>
<u>Hope </u><u>this </u><u>helps</u><u>.</u><u>.</u><u>.</u>
<u>Good</u><u> </u><u>luck</u><u> on</u><u> your</u><u> </u><u>assignment</u><u>.</u><u>.</u><u>.</u>
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