What is the area of this figure? And how do I solve it

486

Step-by-step explanation:

you can find out the unknown side by pythagoras theorem

297 cm² Option B

Step-by-step explanation: Total Area of the figure = Area of the rectangle + Area of the trapezium

∴ AREA OF THE RECTANGLE = l×b

= 9×15 = 135cm²

∴AREA OF TRAPEZIUM = h/2 (a+b)

12/2 (9+18)

6×27 = 162cm²

∴AREA OF THE FIGURE = 135cm²+162cm²

= 297cm²

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.