Respuesta :
The area of the shape (quadrilateral) is 16 square units.
Step-by-step explanation:
The given four sides of quadrilateral = (1,3), (5,3), (7,-1) and (1,-1)
To find, the area of the shape (quadrilateral) = ?
We know that,
The area of quadrilateral = [tex]\dfrac{1}{2} [x_{1}( y_{2}-y_{3})+x_{2}( y_{3}-y_{4})+x_{3}( y_{4}-y_{1})+x_{4}( y_{1}-y_{2})][/tex]
= [tex]\dfrac{1}{2} [1( 3+1)+5( -1+1)+7( -1-3)+1}( 3-3)][/tex]
= [tex]\dfrac{1}{2} [1(4)+5( 0)+7( -4)+1}( 0)][/tex]
= [tex]\dfrac{1}{2} [4+0-28+0][/tex]
= [tex]\dfrac{1}{2} [32][/tex]
= 16 square units.
Thus, the area of the shape (quadrilateral) is 16 square units.
