Length of the rectangle is 8m and width is 6m
Step-by-step explanation:
- Step 1: Given area of the rectangle = 48m². Let the length be x, then the width is x - 2. Find the dimensions using the area of the rectangle = length × breadth
48 = x (x - 2)
48 = x² - 2x
x² - 2x - 48 = 0
x² - 8x + 6x - 48 = 0
x(x - 8) + 6(x - 8) = 0
(x + 6)(x - 8) = 0
x = -6, 8 (neglecting the negative value)
∴ Length of the rectangle = 8m
∴ Width of the rectangle = 8 - 2 = 6m
