Answer:

Step-by-step explanation:
we know that
The area of the trapezoid is equal to

step 1
Find the measure of angle DAE
m∠ADC+m∠DAE=180° -----> by consecutive interior angles
we have
m∠ADC = 134°
substitute
134°+m∠DAE=180°
m∠DAE=180°-134°=46°
step 2
In the right triangle ADE
Find the length side AE
cos(∠DAE)=AE/AD

step 3
In the right triangle ADE
Find the length side DE
sin(∠DAE)=DE/AD

step 4
Find the area of ABCD

we have

substitute


Answer:
65 in²
Step-by-step explanation:
1. Break up the figure (We'll do it left to right): We now have 3 rectangles:
<em>(6 - 4) x 4, (4 + 8) x 4, and 3 x 3</em>
2. Find the two lengths: 6 - 4 = <em>2</em>, 4 + 8 = <em>12</em>
3. Find the three areas: 2 * 4 = <em>8</em>, 12 * 4 = <em>48</em>, 3 * 3 = <em>9</em>
4. Add the areas: 8 + 48 + 9 = 65 in²
Answer:
16^6t^2+30^6+15
Step-by-step explanation: