Question

On a coordinate plane, trapezoid A B C D has points (negative 3, negative 2), (negative 1, 2), (3, 2), and (5, negative 2).
Figure ABCD is graphed on a coordinate plane.
ABCD is an isosceles trapezoid. What is the approximate perimeter of ABCD? Round to the nearest tenth.
16.5 units
18.9 units
20.9 units
24.0 units

Answer 1

Given:  Trapezoid ABCD has points (-3, -2), (-1, 2), (3, 2), and (5, -2), ABCD is an isosceles trapezoid.

To find:  The approximate perimeter of ABCD?

Solution:

• Now we have given isosceles trapezoid, with four coordinates.

• We know that isosceles trapezoid has two sides of same length.

• So formula of perimeter of  isosceles trapezoid is : a + b + 2c

         We have a = 3-(-1) = 4 cm.

         We have base = b = 5-(-3) = 8 cm

         And leg = c = {√( -1-(-3) )² + ( 2-(-2) )² }

                          c = { √4 + 16 }

                          c = { √20 }

                          c = 2√5

• Putting these values in formula, we get:

          a+b+2c = 4 + 8 + 2(2√5)

                       = 12 + 4√5

                       = 12 + 8.94

                       =20.94 cm

Answer:

           So the approximate perimeter of ABCD is 20.94 cm(iii).

Answer 2

Answer:C 20.9

Step-by-step explanation: