New Shape Area

[canelaspice9]

Please see attached picture

 

[mmm4444bot]

Hello. Where are you stuck? Have you done the first step, yet? That is, have you formed a new shape in your mind, using the two triangles? If you're not sure how, then take a rectangular piece of paper and cut it along the diagonal to form a pair of triangles similar to the diagram. Arrange the two paper triangles together in various ways, by joining sides that have the same length. What do you discover? Try to determine the base and height measurements of a new shape, by using the measurements given in the diagram for the two pieces. Please share what you've done or thought about so far. Thank you!

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[Steven G]

What are the length of two sides of one of the triangles? How about the other triangle? Move the two triangles now that you know their size and basic shape.

 

[The Highlander]

Please see attached picture

Do you know how to calculate the area of the (original) rectangle?  [length×breadth]
Do you also know how to calculate the area of a triangle?          [½×base×height]
If you do, then I suggest you try to make your new shape a triangle if you can.
If you can do that, then calculating the areas of both the original rectangle and your new shape is one way to confirm whatever conclusion you come to about how the area of your new shape compares to the original rectangle's area ("bigger, smaller or equal to" it).