Answer:
<h2>13</h2>
Step-by-step explanation:
3z + 5 = 4z - 8
⇌ 5 + 8 = 4z - 3z
⇌ 13 = z
Let the shorter diagonal be x, then
x^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 70 = 36 + 100 - 120 cos 70 = 136 - 41.04 = 94.96
x = sqrt(94.96) = 9.7 cm
The other angle of the parallelogram is 1/2(360 - 2(70)) = 1/2(360 - 140) = 1/2(220) = 110
Let the longer diagonal be y, then
y^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 110 = 36 + 100 - 120 cos 110 = 136 + 41.04 = 177.04
y = sqrt(177.04) = 13.3 cm.
Therefore, the length of the diagonals are 9.7 cm and 13.3 cm.
Area of trapezoid:
A = 1/2(b1+b2)h
where
b1 = 30,
b2 = 28+12 = 40
Triangle FOG
a^2 = c^2 - b^2
a^2 = 13^2 - 12^2
a^2 = 169 - 144
a^2 = 25
a = √25
a = 5
FO = 5 so height h = FO = 5
Now you can find the Area of trapezoid
A = 1/2(b1+b2)h
A = 1/2(30 + 40) (5)
A = 1/2(70)(5)
A = 175
Answer
175 square units
25,600=256 hundreds.
25600/100=256
20/25*2(5-10)=20/25*10-20 later calculate the numbers
