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