A rectangle has a length of 60cm and a width of 30cm. It is cut into 2 indentical squares, 2 identical rectangles and a shaded small square. Find the area of the shaded square

1/The Ford car left Hanoi for Nghe An and the Audi car left Nghe An for Ha Noi at the same time. The ratio of their speeds (the Ford car to the Audi car) was 4 : 3. The Ford decreased its speed by 25% and the Audi car increased its speed by 25% after they had passed each other.
When the Ford car reached Nghe An, the Audi car was still 20km away from Hanoi. The distance between Hanoi and Nghe An is ...... km.

2/Suppose that the polynomial f(x) = x5 - x4 - 4x3 + 2x2 + 4x + 1 has 5 solutions x1; x2; x3; x4; x5. The other polynomial k(x) = x2 - 4. 
Find the value of P = k(x1) x k(x2) x k(x3) x k(x4) x k(x5)
Answer: P = ...........

3/If all roots of the polynomial P(x) = x2 + 5x - 1 are also roots of the polynomial Q(x) = x3 + ax2 + bx + c then the value of a + b + 6c is .................
4/Let ABC be an isoceles triangle (AB = AC) and its area is 501cm2. BD is the internal bisector of the angle ABC (D ∈ AC), E is a point on the opposite ray of CA such that CE = CB. I is a point on BC such that CI = 1/2 BI. The line EI meets AB at K, BD meets KC at H. Find the area of the triangle AHC.
A. 167cm2
B. 250,5cm2
C. 200cm2
D. 176cm2

5/Given P(x) = (x2 - 1/2 x - 1/2)1008
If P(x) = a2016x2016 + a2015x2015 + ..... + a1x + a0 
then the value of the sum a0 + a2 + a4 + .... + a2014 is ...........

Write your answer by decimal in simplest form

6/The number of ordered pairs (x; y) where x, y ∈ N* such that x^2y^2 - 2(x + y) is perfect square is ...........

7/Let ABCD be the square with the side length 56cm. If E and F lie on CD, C respectively such that CF = 14cm and EAF = 45 then CE = ........cm.

8/A rectangle has a length of 60cm and a width of 30cm. It is cut into 2 indentical squares, 2 identical rectangles and a shaded small square. Find the area of the shaded square.
Find the area of the shaded square.