Question

Q11.

Answer 1

Answer:

Step-by-step explanation:

The area of a trapezium is given as;

Area = $\frac{1}{2}$(a + b)h

where: a is the length of the upper side, b is the length of its base and h is its height.

This implies that; a = x - 4, b = x + 5, h = 2x and area = 351

Thus,

351 =  $\frac{1}{2}$((x - 4) + (x + 50)) 2x

      = (x - 4 + x + 5) x

531 = (2x + 1) x

      = 2$x^{2}$ + x

So that;

2$x^{2}$ + x - 531 = 0

This gives a quadratic equation.