Show how the shape was dissected for the given calculation

The answers are first and third figure in the attached file.

Step-by-step explanation: Given a rectangular figures with dots. And a particular area is excluded from the figure as shown. there are six options which gives the area of the compound shapes. We are to check which are correct among these six areas.

In the figure, we can see, there are two possibilities to find the area of the compound figure.

(i) the figure is composed of two rectangles of dimensions 2 ×  3 and 3 × 6.

So, here the area is 3 × 6 + 2 × 3.

(ii) the figure is composed of a rectangle of dimension 5 × 6 - 2 × 3.

So, here the the area is 5 × 6 - 2 × 3.

Thus, the correct options are figure (1) and figure (3) in the attached file.

"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629