amy20076
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a rectangle has an area of 50 centimeters squared. The dimensions of the rectangle are multiplied to form a new rectangle with an area of 200 centimeters squared. by what number were the dimensions multiplied?

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znk

Answer:

2

Step-by-step explanation:

Let A₁ = the original area a

and A₂ = the new area

and n = the number by which the dimensions were multiplied

A₁ = lw

A₂ = nl × nw = n²lw

A₂/A₁ = (n²lw)/(lw) = 200/50

                        n² = 4

                        n = 2

The dimensions were multiplied by a factor of 2.

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