It is is a parallelogram, hence we have to face sides equal in length and the opposite angles are also the same. From the given above we have:
ab=14 and its opposite side cd=14
bc=20 and its opposite side da=20
Solving for the diagonal measurement bd, we have consecutive angles are equal to 180°
∠A+∠B=180°
∠A=180°-54°
∠A=126° , ∠B=54° ,∠C=126° and ∠D=54°
bd²=ab²+da²-2(ab)(da)cos126°
bd²=14²+20²-2*14*20cos126°
bd=30.42 unit
Solving for the angle dbc, we have
cos dbc=bc²+bd²-cd²/a*bc*bd
cos dbc=20²+30.42²-14²/2*20*30.42
dbc=21.76°
Answer:
Step-by-step explanation:
p = 106
L = 8 + 4W
p = 2L + 2W
p = 2(8 + 4W) + 2W
p = 16 + 8W + 2 W
p = 16 + 10W
106 = 16 + 10W
106 - 16 = 10W
90 = 10W
90/10 = W
9 = W
<h2>W = 9</h2><h2 />
L = 8 + 4W
L = 8 + 4(9)
L = 8 + 36
<h2>L = 44</h2>
44 + 44 + 9 + 9 = 106
44 * 9 = Area = 396
Answer:
3.375 or 3 3/8 or 27/8 (all the same answer just in different forms)
Step-by-step explanation:
3/8 x 9 (or 9/1)