What is the area of the composite figure whose vertices have the following coordinates? (−2, −2) , (3, −2) , (5, −4) , (1, −8) ,

Question

Yanka [14]

3 years ago

11

What is the area of the composite figure whose vertices have the following coordinates? (−2, −2) , (3, −2) , (5, −4) , (1, −8) ,

(−2, −4) Enter your answer in the box. units²

Mathematics

1 answer:

Luden [163] · Answer 1 · 2021-11-05T07:28:25+03:00

Luden [163]3 years ago

3 0

Check the picture below.

notice the composite is just,

a 5x2 rectangle.

a triangle(yellow) with a base of 2 and a height of 2.

a triangle(red) with a base of 6 and a height of 4.

get the area of each, sum them up, and that's the area of the composite.

$\bf \stackrel{rectangle}{(5\cdot 2)}~~~~+~~~~\stackrel{yellow~triangle}{\cfrac{1}{2}(2)(2)}~~~~+~~~~\stackrel{red~triangle}{\cfrac{1}{2}(6)(4)}$