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PLS HELPP!! Will Venmo for answer!!! The figure below shows trapezoid ABCD on a coordinate plane. Which of the following expressions represents the perimeter of this figure in units?

PLS HELPP!! Will Venmo for answer!!! The figure below shows trapezoid ABCD on a coordinate-example-1
User Sokid
by
7.9k points

1 Answer

5 votes

Answer:

Option (4)

Explanation:

Coordinates of the vertices of the given trapezoid,

A(-9, 4), B(-4, -3), C(2, -4), D(9, 1) and E(-3, 3)

Perimeter of ABCD = length of AB + length of BC + length of CD + length of DA

Length of AB =
√((x_2-x_1)^2+(y_2-y_1)^2)

=
√((-9+4)^2+(4+3)^2)

=
√(25+49)

=
√(74)

Length of BC =
√((-4-2)^2+(-3+4)^2)

=
√(36+1)

=
√(37)

Length of CD =
√((2-9)^2+(-4-1)^2)

=
√(49+25)

=
√(74)

Length of DA =
√((-9-9)^2+(4-1)^2)

=
√(324+9)

=
√(333)

Perimeter of ABCD =
√(74)+√(37)+√(74)+√(333)

=
√(74)+√(37)+√(74)+3√(37)

=
4√(37)+2√(74)

Therefore, Option (4) will be the answer.

User Gylaz
by
8.6k points

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