Kate wants to build a fence around her garden to prevent her rabbits from eating her vegetables. The rabbit fencing costs $7.50 per metre. How much will it cost to enclose a square garden with an area of 144m^?

Respuesta :

It costs $ 360 to enclose a square garden with an area of 144 square meter

Solution:

Given that,

Kate wants to build a fence around her garden to prevent her rabbits from eating her vegetables

Given is a square garden

Area = 144 square meter

The area of square is given as:

[tex]Area = (side)^2\\\\144 = (side)^2\\\\Take\ square\ root\ on\ both\ sides\\\\side = 12[/tex]

Thus length of side of square is 12 meter

Find the perimeter of square garden:

Perimeter = 4(side)

Perimeter = 4(12)

Perimeter = 48 meter

The rabbit fencing costs $7.50 per meter

[tex]Cost = perimeter \times 7.50\\\\Cost = 48 \times 7.50\\\\Cost = 360[/tex]

Thus it costs $ 360 to enclose a square garden with an area of 144 square meter