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?

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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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