Question

there is a 3 m wide path on the inside running around a rectangular park of length 48 m and width 36 m . finth the area of the path

Answer 1

Answer:-

$\sf{The \ area \ of \ path \ is \ 468 \ m^{2}}$

Given:

• There is a 3 m width path on the inside running around a rectangular park of length 48 m and width 36 m

To find:

• Area of the path.

Solution:

$\sf{For, \ park \ with \ path}$

$\sf{Length=48 \ m}$

$\sf{Breadth=36 \ m}$

$\sf{Area \ of \ park \ with \ path=48\times36}$

$\sf{\therefore{Area \ of \ park \ with \ path=1728 \ m^{2}}}$

$\sf{For, \ park \ without \ path}$

$\sf{Length=48-3(2)=48-6=42 \ m}$

$\sf{Breadth=36-3(2)=36-6=30 \ m}$

$\sf{Area \ of \ park \ without \ path=42\times30}$

$\sf{\therefore{Area \ of \ park \ without \ path=1260 \ m^{2}}}$

$\sf{Area \ of \ path}$

$\sf{=Area \ of \ park \ with \ path \ - \ Area \ of \ park \ without \ path}$

$\sf{=1728-1260}$

$\sf{\therefore{Area \ of \ path=468 \ m^{2}}}$

$\sf\purple{\tt{\therefore{The \ area \ of \ path \ is \ 468 \ m^{2}}}}$