What is the area of the shaded region? (lemmy.world)

submitted 3 months ago* (last edited 3 months ago) by zkfcfbzr@lemmy.world to c/dailymaths@lemmy.world

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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?

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[-] crt0o@lemm.ee 9 points 3 months ago* (last edited 3 months ago)

It's 6.5

| 0  5  1 |   | 0   4   1 |
| 0  4  1 | + | 4  2.5  1 | = 6.5
| 1  5  1 |   | 1   5   1 |

Determinants go brrr

this post was submitted on 10 May 2024

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