d The length of a rectangular plot is 4 ½ times

# Area Calculation MCQ9( The length of a rectangular plot is 4 ½ times )

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

According to given information;

Length = L = 4.5 x

Area of the Rectangular Plot = 200 sq m

So,

$L\times B=200$

$==> x \times 4.5x=200$

$==> 4.5x^2=200$

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

$==> x= 6.6666$

$x=6.6666 m$

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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