Question

$pleae \: give \: the \: answer$
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Answer 1

$\tt{\red{Question}}$

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.

$\sf{\red{Solution}}$

Given that

Here,

$\sf\red{Area\ of\ the\ path=}\green{Area\ of\ larger\ rectangle}-\pink{Area\ of\ smaller\ rectangle.}$

Smaller Rectangle:

• Length of smaller rectangle=125m
• Breadth of smaller rectangle=65m

Larger Rectangle:

⁣           3m wide path runs all around outside smaller rectangle.

)Length of larger rectangle=Length of smaller rectangle+2×3

⁣           =125+6=131m

)Breadth of larger rectangle=Breadth of smaller rectangle+2×3

⁣           =65+6=71m

Smaller rectangle:

→Length =l=125m, Breadth=b=65m

• Area of smaller rectangle =l×b= 125×65 =8125m²

Larger rectangle:

→Length =l=131m, Breadth=b=71m

• Area of larger rectangle =l×b=131×71 =9301m² .

Area of the path=Area of larger rectangle−Area of smaller rectangle.

=9301−8125=1176m²

∴ Area of path is 1176m²

hope it helps