Given: ABCD is a parallelogram, <mover> A M </mrow> <mo accent="f

Waylon Mcbride

Waylon Mcbride

Answered question

2022-05-10

Given: ABCD is a parallelogram, A M ¯ , B N ¯ angle bisectors, D M = 4 ft., M N = 3 ft.Find: the perimeter of ABCD

Answer & Explanation

Haylie Cherry

Haylie Cherry

Beginner2022-05-11Added 17 answers

Step 1
We have two isosceles triangles that we can use.
As A B D C , B A M = A M D = D A M . So, D A = D M = 4 .
Similarly N C = C B = D A = D M
D C = D M + M N + N C = 2 D M + M N = 11
Perimeter of the parallelogram is 2 ( D C + D A ) = 30

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