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let l be length

l = w+8

formula:

A= l x w

105m = (w+8)(w)

105m = w²+8w

105m + 16 = w²+8w+16 (completing the square)

121 = (w+4)²

√121 = ± √(w+4)² (square root of both sides)

11 = ± (w+4)

w = 11 - 4

w = 7m

l = w + 8

l = 7 + 8

l = 15m

checking

105 = 15(7)

105 = 105

Let X be the width

X + 8 be the length

A=1 . W= 105m^2

105=x (x+8)

Solve for x

X^2+8x=105

x^2 + 8 -105=0 (Final answer)

Therefore , the given situation illustrates an Quadratic equation.

Sana makatulong yan. Haha! Ü