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RUDIKE [14]
3 years ago
12

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?

Mathematics
2 answers:
Pavlova-9 [17]3 years ago
6 0

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

Vesna [10]3 years ago
3 0

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

<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

<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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