Question

length and width of field is 25m and 20m and there us 2m wide path around the field. calculate the are of path​

Answer 1

Answer:

$\huge{\pink{\green{\sf{\therefore Area\:of\:path=164m^{2}}}}}$

Step-by-step explanation:

$\huge{\pink{\green{\underline{\red{\sf{SOLUTION-}}}}}}$

• In the given figure information given about a rectangular field whose sides are given and a 2m path around the field.

• We have to calculate the Area of path.

$\underline \bold{ Given : } \\ \implies length = 25m \\ \implies breadth = 20m \\ \implies width \: of \: path = 2m \\ \\ \underline \bold{To \: Find : } \\ \implies Area \: of \: path = ?$

• According to given question :

$\bold{For \: Whole \: field \implies} \\ \implies Area \: of \: field = l \times b \\ \implies Area = 25 \times 20 \\ \bold{\implies Area = 500 {m}^{2} }$

$\bold{For \: field \: except \: path \implies} \\ \implies New \: length = 25 - 2 - 2 \\ \bold{\implies New \: length = 21m} \\ \implies New \: breadth = 20 - 2 - 2 \\ \bold{\implies New \: breadth = 16m} \\ \\ \implies Area \: of \: field \: excluding \: path = l \times b \\ \implies Area = 21 \times 16 \\ \bold{\implies Area = 336 {m}^{2} } \\ \\ \implies Area \: of \: path = Area \: of \: field - Area \: of \: field \:excluding \: path \\ \implies Area \: of \: path = 500 - 336 \\ \bold{\implies Area \: of \: path = 164 {m}^{2} }$