Question

Choose the correct option

The length and breadth of a rectangular plot are I and b. Two rectangular paths each of width W run inside the plot one parallel to the length and the other parallel to the breadth. What is the total area of the paths?

a) ( l + w) ( b + w)-lb

b) lb - ( l - w)(b- w)

c) ( l + b-w) w

d) lb-(l-2w)(b-2w)​

Answer 1

${\mathfrak\red{Choosing \: correct \: option:-}}$

$\bold{\pink{Question}}$

The length and breadth of a rectangular plot are I and b. Two rectangular paths each of width W run inside the plot one parallel to the length and the other parallel to the breadth. What is the total area of the paths?

$\bold{\pink{Answer}}$

$\textsf{\blue{Area of the path along length = l×w}}$

$\textsf{\purple{Area of the path along breadth = l×w}}$

$\textsf{\green{The common area of the paths = w2}}$

$\bold{\orange{∴ Total \: area \: of \: the \: path \: = lw+lw−w2 }}$

$\bold{= (l+b−w)w}$

Khadijah21

Answer 2

Answer:

The length and breadth of a rectangular plot are I and b. Two rectangular paths each of width W run inside the plot one parallel to the length and the other parallel to the breadth. What is the total area.

{Area of the path along length = }Area of the path along length = l×b

{Area of the path along breadth = l×w} Area of the path along breadth = l×w

{The common area of the paths = w2}}The common area of the paths = w2

{∴ Total \: area \: of \: the \: path \: = lw+lw−w2 }}∴Totalareaofthepath=lw+lw−w2

\bold{= (l+b−w)w}=(l+b−w)w