this post was submitted on 10 May 2024
48 points (96.2% liked)

Daily Maths Challenges

172 readers
11 users here now

Share your cool maths problems.



Complete a challenge:


Post a challenge:


Feel free to contribute to a series by DMing the OP, or start your own challenge series.

founded 2 months ago
MODERATORS
48
submitted 1 month ago* (last edited 1 month ago) by zkfcfbzr to c/dailymaths
 

An 8x5 rectangle. If the bottom left corner is considered (0, 0), then two lines are drawn within the rectangle, from (0, 4) to (8, 1) and from (1, 5) to (7, 0). The smaller two regions of the four these lines cut the rectangle into are shaded. What is their combined area?

you are viewing a single comment's thread
view the rest of the comments
[–] [email protected] 16 points 1 month ago* (last edited 1 month ago) (2 children)

this was my approach

the same 8x5 rectangle, with additional lines added

detailed annotation for screen readers here: 4 lines have been added to the original depiction. the first set of 2 lines make a triangle shape using coordinates (4, 2.5) to (4, 0) to (7, 0). the second set of 2 lines make a triangle shape using coordinates (4, 2.5) to (8, 2.5) to (8, 1)

[–] [email protected] 7 points 1 month ago

spoiler( (4x2.5)- (((2.5x3)/2)+((4x1.5)/2)) )x2 = 6.5

[–] graham1 4 points 1 month ago

That's what I did too