Find the area of this figure.

144 ft^2

Step-by-step explanation:

We can split this shape into a rectangle and into a trapezoid. The rectangle we can use is the one with side lengths of 12.4 and 6, and to find this area we just multiply these two to get 74.4.

The trapezoid we can make has bases of 5 and 12.4, and has a height of 8 ft. The equation representing the height of a trapezoid is , and plugging in to this equation we get:

1/2(5+12.4)*8

1/2(17.4)*8

8.7*8

69.6

Finally, we add the area of the trapezoid and rectangle together to get 69.6+74.4=144

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

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