The width of a rectangular card is 2 cm lekss than the Tength. The area is 15 cm. Find the length and

width

Step-by-step explanation:

Area A = 15square cm

Length L = x

Width w = x - 2

Area = L * w

15 = x (x - 2)

15 = x^2 - 2x

x^2 - 2x - 15 = 0

Solving by factorization

x^2 - 5x + 3x - 15 = 0

(x^2 - 5x) + (3x - 15) = 0

x (x - 5) + 3 (x - 5) = 0

(x + 3) (x - 5) = 0

(x + 3) = 0 or (x - 5) = 0

x = - 3 or 5

Since x can't be negative therefore x is 5cm

Length = 5cm

Width = 5-2 = 3cm