Quick due today 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.

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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step-by-step explanation:

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134.6 us dollars

step-by-step explanation:

1 us dollar = 1.33 canadian dollars

so, 150 us dollars = 150 × 1.33 = $199.5.

in canada, the money mitchell spent = 20 canadian dollars.

remaining canadian dollars with him = 199.5 - 20 = 179.5.

after mitchell returned to us, he exchanged the remaining canadian dollars to us dollars.

179.5 canadian dollars = 179.5 × 0.75 = 134.6 us dollars.