Answer:
(btw I gave them names, go see the pictures to see what I mean)
(a) = 38.5 ft
(b) = 21 ft
(c) = 87.6 ft
(d) = 40.56 ft
(e) = 69.3 ft
Step-by-step explanation:
(Note: I highly recommend looking at the picture and the pictures that I attached, the pictures give an even better solution than the one I wrote because I cannot write some values here. Once again, I recommend you check the photos I attached.)
(a to b, simple triangular phytagorean theorem)
(a) assuming 7.3 ft also aplies to the bottom side
7.3 - 3.8 = 3.5
Add 3.5 to the other 3.5
=7.0
use phytagorean theorem
[tex]11^{2} +7^{2} =c^{2}[/tex]
121 + 49 = 170
[tex]\sqrt{c^{2} } =\sqrt{170}[/tex]
c = 13.04 ft
Formula for area:
7 ft x 11 ft = 77ft
Divide it by 2
[tex]\frac{77ft}{2}[/tex]
= 38.5 ft
(b) Same as before, use phytagorean theorem
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]12^{2} +3.5^{2} =c^{2}[/tex]
144 + 12.25 = 156.25
[tex]\sqrt{c^{2} } =\sqrt{156.25}[/tex]
c = 12.5
Formula for area:
[tex]\frac{ab}{2}[/tex]
3.5 ft x 12 ft = 42 ft
42 ft ÷ 2 = 21 ft
= 21 ft
(c, simple find area for rectangle)
area for rectangle:
= length x width
= 7.3 x 12 = 87.6
= 87.6 ft
(d to e, this is where we find the area for trapezoids)
(d)
area for trapezoid
[tex]\frac{a+b}{2} h[/tex]
(3.6 + 12) ÷ 2 x 5.2 = 40.56
= 40.56 ft
(e)
3.8 + 5.2 = 9.0
area for trapezoid
[tex]\frac{a+b}{2} h[/tex]
(4.4 + 11) ÷ 2 x 9 = 69.3
= 69.3 ft
Hope this helps!
