write the formula to calculate area of quadrilateral when Co ordinates are given can you answer it please...

Mathematics

2 answers:

Alexxx [7]3 years ago

3 0

If four coordinates are given then:-

Find length of the sides using distance formula

$\boxed{\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}$

Now break down into two triangles .
Use herons formula and find areas of the triangles .add them and get the area

dsp733 years ago

3 0

Answer:

Area of Quadrilateral Using Coordinates

Subtract (2) from (1) and multiply the difference by 1/2 to get area of the quadrilateral ABCD.

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Area of the figure = 806.5 in²

Solution:

Length of the rectangle = 16 in

Breadth of the rectangle = 9 in

Area of the rectangle = length × breadth

= 16 × 9

Area of the rectangle = 144 in²

Base of the triangle = 31 in