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Area Calculation MCQ9(Rectangle,Length multiple of breadth)

Area Calculation MCQ 9 : The length of a rectangular plot is 4 ½ times that of its breadth. If the area of the plot is 200 square meters, then what is it’s length?

a) 30 m           b) 32m                  c) 40m             d) 45m

Solution:

 

We suppose that Breadth =B= x

drawit diagram 21

According to given information;

Length = L = 4.5 x

Area of the Rectangular Plot = 200 sq m

So,

\[ L\times B=200 \]

\[ ==> x \times 4.5x=200 \]

\[ ==> 4.5x^2=200 \]

\[ ==> x^2 = \frac{200}{4.5}= 44.4444 \]

\[ ==> x= 6.6666 \]

So Breadth is ;

\[ x=6.6666 m \]

 

Putting this value of x in   ;

L=4.5 x

So the  length is ;

\[ Length= 4.5 \times 6.6666=30 m \]

 

So, the length of the rectangular plot is 30 meters

 

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