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From a square cardboard sheet, a 3 cm wide strip was cut away. The area of the remaining rectangular cardboard sheet is 70 cm². Find the original dimensions of the square cardboard sheet.

Answer 1

area = S^2

S(S-3) =70

S^2 -3S = 70
S^2 - 3s-70 = 0

(s-10) (s+7) = 0

s = 10, s=-7

S=10

original dimension was 10cm x 10cm

Answer 2

The original dimensions of the square cardboard are 10cm and 7cm.

Let the original dimensions of the square cardboard be represented by x.

Based on the information given in the question, the equation to solve the question will be:

(x)(x - 3) = 70

x² - 3x = 70

Collect like terms

x² - 3x - 70 = 0

x² - 10x + 7x - 70 = 0

x(x - 10) + 7(x - 10)

x - 10 = 0

x = 0 + 10 = 10

Therefore, the original dimensions of the square cardboard are 10cm and 7cm.

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