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

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 2

Answer:

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

$192 = 3x \times x \\ 192 = 3 {x}^{2} \\ {x}^{2} = \frac{192}{3} \\ x^{2} = 64 \\ x = \sqrt{64} \\ x = 8 \: meter$

Width = 8 meter

Replacing value,

Length= 3x

$\: \: \: 3 \times x \\ \: \: = 3 \times 8 \\ \: \: \: \: = 24$

Length= 24 meter.

Hope this helps...

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