exam Maths Puzzle Numerical Ability

1. If the lenght of a rectangle is doubled, does the area double? Why or why not?

2. If the height and the base of a triangle are doubled, what happens to the area? Explain.

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exam Other Question

I have learned how to completely factor polynomials such as:

x^2+7x-30
(x+10)(x-3)

but I get lost when there are variables instead of number. I need to find all the positive values for "k" in this problem:

x^2+x-k Find the perimeter of the polygon, the top measures 21 m, the sides measure
12 m, and the bottom measures 27 m?