Question

A side of a square is 10 cm longer than the side of an equilateral triangle. The perimeter of the square is 3 times the perimeter of the triangle. Select the equation that represents the scenario when x represents the side of the triangle.

Answer 1

Let the side of the equilateral triangle = x

so the side of the square = x+10

The perimeter of the triangle = 3x

and the perimeter of the square = 4(x+10)

condition : the perimeter of the square is 3 times the perimeter of the triangle.

so, 4(x+10) = 3*(3x)

Explanation:

Answer 2

Here's the solution :

• Side of the equilateral triangle = x

• Side of square = x + 10

perimeter of equilateral triangle = 3 × x = 3x

perimeter of square = 4 × (x + 10)

now, according to above statement :

permission (square) = 3 × perimeter (triangle)

that is :

• 
  `4(x + 10) = 3 * 3x`

• 
  `4x + 40 = 9x`

• 
  `9x - 4x = 40`

• 
  `5x = 40`

• 
  `x = 8`

therefore, side of triangle = 8 cm

• perimeter (triangle) = 8 × 3 = 24 cm

• side of square = 8 + 10 = 18 cm

• perimeter of square= 18 × 4 = 72 xm