Question

Sides of a equilateral triangle are 3x+2y cm and 5x+6y cm and x+y+3 cm then perimeter

Answer 1

Answer:

3(3x+3y+1)

Step-by-step explanation:

perimeter=(3x+2y)+(5x+6y)+(x+y+3)

=3x+2y+5x+6y+x+y+3

=3x+5x+x+2y+6y+y+3

=9x+9y+3

=3(3x+3y+1)

Answer 2

Answer:

3x + 2y = 5x + 6y = x + y + 3  -{All sides of an eq. are equal}

Now,

- Using 3x + 2y = 5x + 6y

0 = 2x + 4y => x + 2y = 0 => x = -2y -(1)

- Using, 3x + 2y = x + y + 3

=> 2x + y = 3 => 2(-2y) + y = 3 {From 1}

=> -4y + y = 3

=> y = -1 => x = 2

Now, Side length = x+y+3 = 2 - 1 + 3 = 4

Perimeter = 4*3 = 12cm

*Note: U can use any two pair of equations to get the value of x and y, It will always be same.