Question

The perimeter of a garden is 900 cm and it's side are in the ratio 3:5:4. Using Heron's Formula, find the area of triangular garden

Answer 1

Answer:

Step-by-step explanation:

let the common factor between the ratio is x

therefore sides are 3x,5x,4x

now 3x+5x+4x = 900

12x =900

x=900/12 = 75

so the sides are 225 ,375 ,300

Area= √(s(s-a)(s-b)(s-c))

    s= (a+b+c)/2

s=(225+375+300)/2

s=900/2 = 450

Area= √(450(450-225)(450-375)(450-300))

Area = √(450×225×125×150)

Area = √((2×5²×3²)(5²×3²)(5³)(2×3×5²))

Area = √(2²×5^9×3^5)

Area = 2×5^4×3^2√15

Area = 11250√15