Question

The sides of a rectangular park are in ratio 4:3 .if it's area is 1728m2. (1) it's perimeter (2) cost of fencing it at the rate of 40per meter

Answer 1

Answer:

do as per given and sorry for using pencil

Answer 2

$\Large{\textbf{\underline{\underline{According\:to\:the\:Question}}}}$

Assume,

Length be 4p

Breadth be 3p

$\Large{\boxed{\sf\:{1)Area\;of\;Rectangle:-}}}$

= Length × Breadth

⇒1728 = 4p × 3 p

⇒12p² = 1728

⇒p² = 1728 × 12

⇒p² = 144

⇒p = √144

⇒p = 12 m

Hence,

Length = 4(12) = 48 m

Breadth = 3(12) = 36 m

2) Perimeter = 2(Length + breadth)

⇒Perimeter = 2(48 + 36)

⇒Perimeter = 2 × 84

⇒Perimeter = 168 m

Hence,

Cost of Fencing = Cost × Perimeter

Cost of fencing = 168 × 40

Cost of fencing = 6720

$\Large{\boxed{\sf\:{Cost\;of\;fencing=Rs\;6720}}}$