Skip to main contentSkip to solution

What's the area of the quadrilateral included inside the points: (−1,2),(−1,4),(7,2),(7,4)?(-1, 2), (-1, 4), (7, 2), (7, 4)?

Solution

✅ Correct Option: 2

The given points are:

  • Point A: (−1,2)(-1, 2)
  • Point B: (−1,4)(-1, 4)
  • Point C: (7,2)(7, 2)
  • Point D: (7,4)(7, 4)

Points A and B share x=−1x = -1, while points C and D share x=7x = 7.

Points A and C share y=2y = 2, while points B and D share y=4y = 4.

These points form a rectangle.


Width (horizontal distance):

Width=7−(−1)\text{Width} = 7 - (-1)

Width=8\text{Width} = 8 units

Height (vertical distance):

Height=4−2\text{Height} = 4 - 2

Height=2\text{Height} = 2 units


Area =Width×Height= \text{Width} \times \text{Height}

Area =8×2= 8 \times 2

Area =16= 16 square units

Therefore, the area of the quadrilateral is 1616 square units.

Keyboard Shortcuts

  • Left arrow: Previous question
  • Right arrow: Next question
  • S key: Jump to solution
  • Q key: Jump to question