Question

The length of a rectangular plot is 4½ times that of its breadth. If the area of that plot is 200 sq. metres, then what is its length​

Answer 1

Lenght is 30m



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Answer 2

The length of rectangular plot is 30.015 m

Step-by-step explanation:

Let the breadth be x

We are given that The length of a rectangular plot is 4½ times that of its breadth.

Length of rectangular plot = 4.5x

Area of plot =$Length \times Breadth = x \times 4.5 x = 4.5x^2$

We are given that  the area of that plot is 200 sq. metres

So, $4.5x^2 = 200$

$x=\sqrt{\frac{200}{4.5}}$

x=6.67

Length of rectangular plot = 4.5x =4.5(6.67)=30.015  m

Hence The length of rectangular plot is 30.015 m

#Learn more:

The area of a rectangular plot is 750 sq. metre and if the length of the plot is 150sq. metre. Find its breadth and perimeter

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