Question

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Answer 1

The length of Fence will be 20 m.

Step-by-step explanation:

As per given question we have provided that :

• ⟶ Length of rectangle = 16 m
• ⟶ Width of rectangle = 12 m
• ⟶ Diaognal of rectangle = Fence

Here's the required formula to find Fence (Diaognal) of rectangle :

`\longrightarrow{\pmb{\rm{d = \sqrt{ {(l)}^(2) + {(w)}^(2)}}}}`

• ⟶ d = diagonal
• ⟶ l = length
• ⟶ w = width

Substituting all the given values in the formula to find the length of Fence :

`\longrightarrow{\sf{Fence = \sqrt{ {(l)}^(2) + {(w)}^(2)}}}`

`\longrightarrow{\sf{Fence = \sqrt{ {(16)}^(2) + {(12)}^(2)}}}`

`{\longrightarrow{\sf{Fence = \sqrt{ {(16 * 16)}+ {(12 * 12)}}}}}`

`{\longrightarrow{\sf{Fence = \sqrt{ {(256)}+ {(144)}}}}}`

`{\longrightarrow{\sf{Fence = √(256+ 144)}}}`

`{\longrightarrow{\sf{Fence = √(400)}}}`

`{\longrightarrow{\sf{\underline{\underline{\red{Fence = 20 \: m}}}}}}`

Hence, the length of Fence will be 20 m.

`\rule{300}{2.5}`

Answer 2

fence length is 20 cm

Explanation:

let fence be c

use Pythagoras theorem,

a² + b² = c²

here a is 12 cm and b is 16 cm

12² + 16² = c²

c = √12² + 16²

c = √400

c = 20