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Area Calculation MCQ 8 (Plot’s LB ratio and perimeter)

Area Calculation MCQ 8: The ratio of the length and breadth of a plot is 3:2. If the breadth is 40 meters less than the length, what is the perimeter of the plot?

a) 480m                b) 320m                  c) 400m               d) 450m

Solution:

 

Let the breadth of the plot is x meters.

Since breadth is 40 meters less than the  length, so if we subtract 40 meters from length we  will get the breadth !

i-e

if Length=L = x meters

then,

Breadth =B= (x-40) meters

But given that;

\[ \frac{L}{B}=\frac{3}{2} \]

so,

\[ \frac{x}{x-40}=\frac{3}{2} \]

\[ 2x=3x-120 \]

\[ x=120 \]

so,

drawit diagram 19

\[ Breadth = x-40=120-40=80 \]

Perimeter of the rectangular plot then is ;

\[ Perimeter=L+B+L+B=2(L+B)=z(120+80)=2\times 200=400 \]

 

 

So the perimeter of the plot is 400 meters

 

 

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