Question

The length of a rectangular field is 23 m more than its breadth. If the perimeter of the field is 206 m, then its area is

(a) 2420 $m^2$ (b) 2520 $m^2$ (c) 2480 $m^2$ (d) 2620 $m^2$

Answer 1

length be X
Breadth be Y

According to the given question,

length=breadth+23
X=Y+23
Perimeter=206
2(X+Y)=206
2(Y+23+Y)=206
23+2Y=103
2Y=80
Y=40
X=40+23=63

now area =XY=40*63=2520 $m^2$

(b) is the correct answer.