Question

a rectangle has an area of 4(x+3)square units. if the dimensions are doubled what is the area of the new rectangle terms of x.will the ratio of the area of the original rectangle to the area of the larger rectangle be the same for any positive value of x?
4 [ 4(x+3) ] = 16(x+3)

if you double the dimensions of any figure, you multiply the corresponding areas by 4

area ratio is proportional to length ratio squared for similar figures.

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