Question

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?

Answer 1

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 2

Length= 24 meter

Width= 8 meter

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 * x \\ 192 = 3 {x}^(2) \\ {x}^(2) = (192)/(3) \\ x^(2) = 64 \\ x = √(64) \\ x = 8 \: meter`

Width = 8 meter

Replacing value,

Length= 3x

`\: \: \: 3 * x \\ \: \: = 3 * 8 \\ \: \: \: \: = 24`

Length= 24 meter.

Hope this helps...

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