What is the area of this irregular figure?
A. 90
B. 180
C. 540
D. 1,080

the answer is B 180

Step-by-step explanation:

if you take the triangle from the bottom and put it on the top where the missing chunk is you would get a 12 by 15 rectangle Wich would give you 180

B. 180

Detailed working and explanation

Divide the irregular figure into 2. You should have a rectangle and a parallelogram.

Total area of irregular figure

=Area of parallelogram+Area of Rectangle

Where Area of parallelogram=bh

area of Rectangle=lw

=(12×*(15-6))+(12×6)

=(12×9)+72

=180mm²

*Note how the parallelograms height was calculated

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

df =

both have same length