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Question:
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 of 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
Answer:
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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