Question

Find the length of a rectangular park whose area is 204 sq. m and breadth is 12m.

Answer 1

Area given=204 sq m

Breadth=12m

Area of a rectangle=length*breadth

⇒204 sq m=length*12m

⇒204 sq m/12m=length

⇒17m=length

The length is 17 m

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Answer 2

Diagram :-

$\setlength{\unitlength}{0.25cm}\begin{picture}(5,5)\thicklines\multiput(0,0)(24,0){2}{\line(0,1){7}}\multiput(0,0)(0,7){2}{\line(1,0){24}}\put(10,-2){\sf{12\ m}}\put(23,3){\sf{x\ m}} \end{picture}$

Given :-

• The Breadth of Park = 12 m

• Area of Park = 204 sq m

• Length of Park = x m

To find :-

• Value of length of park

Formula :-

$\boxed{\rm{\implies \; Area = Length \times Breadth }}$

Solution :-

Using the formula :-

${\rm{\implies \; 204 = x \times 12 }}$

${\rm{\implies \;\dfrac{ 204}{12} = x }}$

${\rm{\implies \; x = \dfrac{\not{204}}{\not{12}}= 17 }}$

So the length is 17 m

Verification :-

${\rm{\implies \; Area = length \times breadth }}$

${\rm{\implies \; Area = 17 \times 12 }}$

${\rm{\implies \; 204 = 17 \times 12 }}$

Hence verified