Question

If ABCD is the square. Find the value of x if BE = 3x + 5 and CA= 8x+2.

Answer 1

• x = 4

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The diagonals of a square bisect each other.

It makes all half-diagonals of equal length. Therefore:

• CA = 2BE

Substitute and solve for x:

• 8x + 2 = 2(3x + 5)
• 8x + 2 = 6x + 10
• 8x - 6x = 10 - 2
• 2x = 8
• x = 4

Hence the value of x is 4.