Find the perimeter of the quadrilateral in simplest form

Question

asked Mar 10, 2020 37.2k views

2 Answers

Hardik Kumbhani · Answer 1 · 2020-03-17T13:27:38+0000

Answer:

$15\sqrt3 in$ in

Explanation:

We are given that

Length of one side of quadrilateral=
2√(27)in

Length of second side of quadrilateral=
√(12)in

Length of third side of quadrilateral=
$3\sqrt3 in$

Length of fourth side of quadrilateral=
2√(12) in

We have to find the perimeter of the quadrilateral in simplest form.

We know that perimeter of quadrilateral=Sum of length of all sides

Therefore, Perimeter of quadrilateral=
$2√(27)+√(12)+3\sqrt3+2√(12)=2√(27)+3√(12)+3\sqrt3 in$

Perimeter of quadrilateral=
$6\sqrt3+6\sqrt3+3\sqrt3=15\sqrt3 in$