hello! i have a few doubts.

here is question 1:

i remember Greg mentioning that if the perimeter is held constant, the area of the regular shape will be more than the area of the irregular shape, and used square and rectangle as an example. then why is A wrong?

question 2:

with no other information given, how can it be assumed that the two quantities are equal?

last question:

aren’t the two triangles congruent? and doesn’t that imply that the area is going to be the same? why is the answer here D?

rakeshhhrathod:

i remember Greg mentioning that if the perimeter is held constant, the area of the regular shape will be more than the area of the irregular shape, and used square and rectangle as an example. then why is A wrong?

Rectangles can be squares.

See Angles in the Same Segment Are Equal - Steps, Examples & Worksheet

Why do you think the two triangles are congruent?

thank you for the link! i’ll check it out

haven’t they explicitly mentioned rectangle? sure squares are also rectangles. could you provide an example where quantity A isn’t bigger?

nevermind, scratch that. i forgot the SAS congruence works when the angle is formed by the two equal sides. thank you!

rakeshhhrathod:

haven’t they explicitly mentioned rectangle? sure squares are also rectangles. could you provide an example where quantity A isn’t bigger?
When the rectangle is a square.