Given :
The width of a rectangle card is 2cm less than the length and the area of rectangle is 35cm²[tex].[/tex]
To Find :
We have to find length and breadth of rectangle.
Solution :
Let length of the rectangle be x cm.
Given that, width is 2cm less than the length.
∴ Width = (x - 2) cm
➤ Area of rectangle :
⭆ Area of rectangle = 35
⭆ length × width = 35
⭆ x × (x - 2) = 35
⭆ x² - 2x - 35 = 0
⭆ x² - 7x + 5x - 35 = 0
⭆ x(x - 7) + 5(x - 7) = 0
⭆ x = 7 or x = -5
We know that, length can't be negative.
∴ Length of rectangle = 7cm
∴ Width of rectangle = 5cm
Hope It Helps!
