Question

the perimeter of a rectangular grassy plot is 189 M and breadth is 10.5 M find the length and area of the plot

Answer 1

let length=l
Now,
p=2(l+b)=189
2(l+10.5)=189
2l+21=189
2l=189-21
l=168/2
l=84
Again,
Area=l*b=84*10.5=882 (ans)

Answer 2

Answer =

→ Length = 84m

→ AREA = 882m²

Explaination :

=> PERIMETER of the RECTANGLE = 189 m ( 18900 cm )

=> BREADTH of the RECTANGLE = 10.5 ( 1050 cm)

=> PERIMETER of RECTANGLE = 2 (Length + Breadth)

=> 18900 = 2l + 2( 1050)

=> 18900 = 2l + 2100

=> 2l = 18900 - 2100

=> 2l = 16800

=> l = 16800 / 2

=> Length = 8400 cm

=> $\large{\green{\boxed{\green{\boxed{\red{\textsf{L = 84m }}}}}}}$

AREA of the plot =

=> Length × Breadth

=> 84 × 10.5

=> $\large{\green{\boxed{\green{\boxed{\red{\textsf{882 Sq.m }}}}}}}$

∴ The Length is 84m

∴ The area of the plot = 882 Sq.m