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,
\[ L\times B=200 \]
\[ ==> x \times 4.5x=200 \]
\[ ==> 4.5x^2=200 \]
\[ ==> x^2 = \frac{200}{4.5}= 44.4444 \]
\[ ==> x= 6.6666 \]
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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