Question

the perimeter of a rectangular grassy plot is 189m and its breadth is 10.5m .find the lenth and area of the plot .

Answer 1

Let the length of the plot = 'x' m.

Given, Breadth = 10.5 m.

Given that perimeter of a rectangular grassy plot = 189 m.

We know that perimeter of a rectangular grassy plot = 2(l + b)

⇒ 189 = 2(10.5 + x)

⇒ 189 = 21 + 2x

⇒ 168 = 2x

⇒ x = 84 m.

We know that Area = length * breadth

⇒ 10.5 * 84

⇒ 882.

Therefore:

⇒ Length of the plot =84 m.

⇒ Area of the plot = 882 m^2.

Hope it helps!

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