Question

EXERCISES
1. A rectangular field of 150 m by 100 m has a 10 m path around it. Find the area of the path.
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Answer 1

${\bold{\underline{\underline{Answer:}}}}$

${\bold{\therefore Area\:of\:Path=4600\:m^{2}}}$

${\bold{\underline{\underline{Step-by-step\:answering:}}}}$

• In the given question information given about a rectangular field of 150 m by 100 m has a 10 m path around it.

• We have to Find the area of the path.

$\underline \bold{Given : } \\ \implies Length = 150 \: m \\ \\ \implies Breadth = 100 \: m \\ \\ \implies Path \: width = 10 \: m \\ \\ \underline \bold{To \: Find : } \\ \implies Area \: of \: path = ?$

• According to given question :

$\bold{Using \:formula \: of \: Area \: of \: rectangle : } \\ \implies Area \: of \: field = L \times B \\ \\ \implies Area_{1} = 150 \times 100 \\ \\ \bold{\implies Area_{1}= 15000 {m}^{2} } \\ \\ \bold{New \: length = 150 - 10 - 10 = 130 \: m }\\ \\ \bold{New \: breadth = 100 - 10 - 10 = 80 \: m} \\ \\ \bold{For \: new \: rectangle : } \\ \implies Area \: of \: field \: without \: path = l \times b \\ \\ \implies Area_{2} = 130 \times 80 \\ \\ \bold{\implies Area_{2} = 10400 \: m^{2} } \\ \\ \bold{For \: Area \: of \: path : } \\ \implies Area \: of \: path = Area_{1} - Area_{2} \\ \\ \implies Area \: of \: path = 15000 - 10400 \\ \\ \bold{\implies Area \: of \: path = 4600 \: {m}^{2} }$

Answer 2

Answer:

Area of path = 4600 m^2

Step-by-step explanation:

• Given:

○Length 1=150 m

○Breadth 1=100 m

□Length 2=130 m

□Breadth 2=80 m

=> Area of path = Area 1 - Area 2

=> Area of path = L1 × B2 - L2 × B2

=> Area = 150 × 100 - 130 × 80

=> Area = 15000 - 10400

=> Area = 4600 m^2