Answer:
Length of rectangle = 14 meters
width of rectangle = 8 meters
Step-by-step explanation:
Let the length of rectangle be x meters
width of the triangle is (x - 6) meters
Area of the rectangle is Length x width
112m² = x * (x -6)
112 = x² - 6x
x² - 6x - 112 = 0
x² - 14x + 8x - 112 = 0
x (x - 14) + 8 ( x - 14) = 0
(x - 14)(x + 8) = 0
x - 14 = 0 x + 8 = 0
x = 14 x = -8
width can't be negative value
Therefore,
Length of rectangle = 14 meters
width of rectangle = 14 - 6 meters
= 8 meters
