Question

A 3 m wide path runs outside and around a rectangular park of length 125 m and breadth 65 m. Find the area of the path

Answer 1

Area of rectangular park
= 125 × 65 = 8125 m²

Area of rectangular park including outside path
= (125 + 2×3) × (65 + 2×3) = 131 × 71 = 9301 m²

Therefore, area of path
= 9301 - 8125 = 1176 m²

Answer 2

$\huge\mathfrak{\underline{Correct\:question}}$

A 3 m wide path runs outside and around a rectangular park of length 125 m and breadth 65 m. Find the area of the path.

______________________________

Given that:-

• A 3 m wide path runs outside and around a rectangular park

• Length of rectangular park = 125m

• Breadth of rectangular park = 65m

To find:-

• Area of the path.

Answer:-

$\bold{STEP-BY-STEP-EXPLANATION}$

From the question it is given that,

Length of the park (L) = 125 m

Breadth of the park (B) = 65 m

Then,

Area of the park = length × breadth

= 125 × 65

= 8125 m^2

From the figure,

The new length and breadth of the park when path is included is 131 m and 71 m respectively.

New area of the park = 131 × 71

= 9301 m^2

The area of path = New area of the park including path – Area of park

= 9301 – 8125

= 1176 m^2

Therefore, area of the path = 1176m^2

#BAL

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