Find the area of the rectangle.

  D.  96 in²

Step-by-step explanation:

Each triangle is congruent to the others, so each has a side length of 8 and a hypotenuse of 10. The unknown side can be found from the Pythagorean theorem to be ...

  width = √(10² -8²) = √36 = 6

Then the area of the rectangle is ...

  area = length × width = (2·8 in)(6 in) = 96 in²

The area of the rectangle is 96 square inches.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation: