Justin sketched trapezoid BALI on a coordinate plane. BALI has vertices located at B(1,4), A(-2,0), L(7,0), and I (3,4). Which o
f the following is the area of BALI?
a) 21.32 square units
b) 22 square units
c) 32 square units
d) 47.97 square units
a) 21.32 square units
b) 22 square units
c) 32 square units
d) 47.97 square units
2 answers:
We shall first plot the points.
A(-2,0), B(1,4) , C(3,4), D(7,0)
After we plot the points we join the points.
We analyze that it is a trapezium.
Now counting the units we get
BC = b = 2 units
AD = a = 9 units
The height = BE = h = 4 units
The formula to find the area of trapezium is = 1/2 ×h ×(a+b)
Substituting the values of a, b & h we get
Area = 1/2 ×4 ×(2 + 9)
Area = 1/2 × 4 × 11 = 44/2 = 22 square units.
Option B) is the right answer
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Answer:
15.43 ft
Step-by-step explanation:
To solve this question, one should use the concept of similar triangles.
The pole's shadow and the distance to the ground (x) form a similar triangle to the distance of the plumb bob from the base and the length of the plumb bob, respectively. Note that we do not need to know the measurements of the third side of the triangles to solve the problem. Therefore, the distance of the top of the pole to the ground is:
The distance of the top of the pole to the ground is 15.43 ft.