Question

area of a quadrilateral ABCD having vertices at A(1, 2),
B(1,0), C(4,0) and D(4,4).​

Answer 1

9 units will be the area of the quadrilateral ABCD.

Step-by-step explanation:

Given the vertices,

A = (1, 2)

B = (1,0)

C = (4,0)

D = (4,4)

To find,

The area of quadrilateral ABCD = ?

Procedure:

By drawing a line from vertex A to point E(in the middle of vertices C and D), a rectangle ABCE and a ΔAED are made.

So,

The area of quadrilateral = area of rectangle + area of the triangle

= 3 * 2 + 1/2 * 3 * 2                                  (from vertices)

∵ Area of quadrilateral ABCD = 3 * 2 + 1/2 * 3 * 2

= 9 sq. units

Learn more: Find the area of quadrilateral

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