Answer:
78 ft squared
Step-by-step explanation:
To find the area of trapezoid, we could use this formula:
.5*height*(sum of bases)
We know both the base lengths. They are 10 and 16 ft.
The height can be found by looking at that right triangle whose base is (16-10) ft or 6 ft.
So we want to find the height which is opposite the 45 degree angle and we have the adjacent side's measurement of 6ft.
This has the tangent ratio written all over it since tangent of an angle is opposite side's measurement over adjacent side's measurement.
tan(45)=height/6
1=height/6
6=height
6ft=height
The answer is:
.5*height*(sum of bases)
.5*6 ft*(10 ft+16 ft)
3 ft(26 ft)
78 ft squared
Note: That one right triangle is an isosceles right triangle so we didn't need trigonometry.
