Question

If the length of a rectangular field is increased by 20% and the breadth is reduced by 20%, the area of the rectangle will be 192m2. what is the area

Answer 1

The orignal area is 200m^2...refer to the image attached for solution.....

Answer 2

Answer:

Area of the field is 200 $\bold{\mathrm{m}^{2}}$

Step-by-step explanation:

Step 1:

The Length and breadth of the rectangle be X and Y metres  

Step 2:

Initial length = L metre

Initial breadth=b metre

Step 3:

New length increased by 20%= $\frac{120}{100}$Xmetre

New breadth decreased by 20%=$\frac{80}{100}$Ymetre

Step 4: Area of original rectangle=X x Y $\bold{\mathrm{m}^{2}}$

Step 5:

Therefore,

$\frac{120}{100} \mathrm{X} \times \frac{80}{100} \mathrm{Y}=192$

Step 6:

X x 1.2 x Y x 0.8=192

XY= $\frac{192}{1.2 \times 0.8}$ = 200 ${m}^{2}$