Question

there is a rectangular park of length 170 m and breadth 155 m. there road each of width 3m pass through the field two roads are parallel to the breadth and third is parallel to the length. find the area of the roads

Answer 1

According to question park is in this form
So
area of road 1= 3×170
$= 510 {m}^{2}$
Area of road 2 = area of road 3= 3×155
$= 465 {m}^{2}$
but 2 small part of areas are including two time ..
area lf 1 small part = 3× 3
$= 9 {m}^{2}$
so area of both the part = 18
so required area of road is
=$510 + 465 + 465 - 18$
=$1450 - 18$
$= 1432 {m}^{2}$

Answer 2

area of road // length =170×3
=510
area of roads // breadth-( 155×3) + (153×3)
=465+ 465
=930
total area covered by roads- 510+930
=1440
common portion = 1440- (3×3) +(3×3)
=1440-18
= 1422 Ans