Find the area of rectangle ABCD , with vertices A(1,7) , B(3,7) , C(3,−4) , and D(1,−4) .

To find the area of the rectangle, we need to find the length of its sides. The length of side AB is 3-1=2 units and the length of side AD is 7-(-4)=11 units.

The area of a rectangle is given by the formula: Area = length * width

In this case, the length is 11 and the width is 2.

Therefore, the area of the rectangle ABCD is:
Area = 11 * 2 = 22 square units.