Add using a number line. −3/4+1 1/4

Drag and drop the word SUM to the correct value on the number line.

Solved

Show answers

Ответ:

luna163

14.04.2020

Mathematics

50 sq. units

Step-by-step explanation:

Join one diagonal of the trapezoid ABCD.

Assume that AC is the diagonal.

So, Area of the trapezoid = Area of Δ ABC + Area of Δ CAD.

Now, coordinates of A(-2,2), B(2,5), C(11,-7) and D(1,-2) are given.

We know, that three vertices of a triangle are $(x_{1},y_{1} )$ , $(x_{2},y_{2} )$ and $(x_{3},y_{3} )$ respectively, then the area of the triangle will be given by

$\frac{1}{2} |x_{1}(y_{2}-y_{3})+x_{2}(y_{3}-y_{1})+ x_{3}(y_{1}-y_{2} ) |$

Hence, area of Δ ABC will be

$\frac{1}{2} |-2(5-(-7))+2(-7-2)+11(2-5)|= 37.5$ sq units.

Again, area of Δ CAD will be

$\frac{1}{2} |11(2-(-2))-2(-2-(-7))+1(-7-2)|= 12.5$ sq units.

Therefore, the area of the trapezoid ABCD will be (37.5 + 12.5) = 50 sq, units. (Answer)

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice

Add using a number line. −3/4+1 1/4Drag and drop the word SUM to the correct value on the number line.