Question

the side of a rectangular park are in the ratio 4:3 of its area is 1728 m2 find the cost of fencing it at $ 30 per meter

Answer 1

hiii!!!

here's ur answer...

let the sides of the rectangular park be 4x and 3x.

length is 4x and breadth is 3x.

area of the rectangular park = 1728m²

therefore l × b = 1728m²

==> 4x × 3x = 1728m²

==> 12x² = 1728m²

==> x² = 1728/12

==> x² = 144

==> x = √144

==> x = 12m

hence, breadth of the rectangular park = 3x

= 3 × 12

= 36m

length of the rectangular park = 4x

= 4 × 12

= 48m

VERIFICATION:-

area of the rectangular park = length × breadth

= 48 × 36

= 1728m²

hence verified

now,

perimeter of the rectangular park = 2 ( l + b )

= 2 ( 48 + 36 )

= 2 × 84

= 168m

total cost of fencing the rectangular park if per m costs $30 = 168 × 30

= $5040

hope this helps u..!!

Answer 2

Answer:

Step-by-step explanation:

let the sides of the rectangular park be 4x and 3x.

length is 4x and breadth is 3x.

area of the rectangular park = 1728m²

therefore l × b = 1728m²

==> 4x × 3x = 1728m²

==> 12x² = 1728m²

==> x² = 1728/12

==> x² = 144

==> x = √144

==> x = 12m

hence, breadth of the rectangular park = 3x

= 3 × 12

= 36m

length of the rectangular park = 4x

= 4 × 12

= 48m

VERIFICATION:-

area of the rectangular park = length × breadth

= 48 × 36

= 1728m²

hence verified

now,

perimeter of the rectangular park = 2 ( l + b )

= 2 ( 48 + 36 )

= 2 × 84

= 168m

total cost of fencing the rectangular park if per m costs $30 = 168 × 30

= $5040