Question

If the side of the triang reilar field on the ratio
of 2:3:4. if its perimeter is 900cm. find its area.​

Answer 1

Step-by-step explanation:

Let the common multiple be x

3x+5x+4x=900

12x=900

x=75

3x=75*3=225

5x=75*5=375

4x=75*4=300

Area,

S=225+375+300/2

=450

Area=√450(450-225)(450-375)(450-300)

=√450*225*75*150

=5*3*2*5*3*5*3*5

=33750cm

Answer 2

Step-by-step explanation:

a

$= (a = 2x )+ (b = 3x )+(c = 4x) (p = 900cm)$

$p = ab + bc + ca$

$900 + 2 + 3 + 4$

$900 = 9x \div 900$

$x = 900 \div 9$

$x = 100$

$ab = a = 2x = 2 \times 100$

therefore

$a = 200cm$

$bc = b = 3x = 3 \times 100$

$therefore a = </strong><strong>3</strong><strong>00cm$

$ca = c = 4x = 4 \times 100$

$therefore = c = 400cm$

s(s-a)( s-b)(s-c)

450(450-200) (450-300)(450-400)

450*225*75*150

5*3*2*5*3*5*3*5*

33750cm