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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distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.