Question

a play ground is 90 m long and 60m broad .a path of 5 m is outside of play ground what is the area of play ground what is area of path​

Answer 1

$\huge\underline{\underline{\bold{Given}}} :$

• length of the ground = 90 m
• breadth of the ground = 60 m
• breadth of the path = 5 m

$\huge \underline{ \underline{\bold{To \: Find}}} :$

1. area of play ground ?
2. area of path ?

$\huge{ \underline{ \underline{ \bold{Solution}}}} :$

we know that,

$\boxed{ \bold{area \: of \: rectangle = length \times breadth}}$

so,

area of the rectangle ABCD = 90 m × 60 m

→ ar(ABCD) = 5400 m²

→ area of play ground is 5400 m²

_____________________________

• length of big rectangle = 90 + 10 = 100m
• breadth of big rectangle = 60 + 10 = 70 m

so, area of rectangle PQRS = 70 × 100

→ ar(PQRS) = 7000 m²

so, area of the ground include path is 7000 m²

______________________________

now,

area of the path = ar(PQRS) - ar(ABCD)

➪ area of the path = 7000 - 5400

➪ area of the path = 1600 m²

so, area of the path is 1600 m²