Find the area of rectangle QRST, with vertices Q (-1,7), R (5,7), S (5,3), and T (-1,3).

Answer 1

To find the area of the rectangle QRST, we need to calculate the length of one of the sides and then multiply by the length of the adjacent side.

The length of side QR can be calculated using the distance formula:
QR = √[(5 - (-1))^2 + (7 - 7)^2] = √[6^2 + 0^2] = √36 = 6 units.

The length of side RS can be calculated using the distance formula:
RS = √[(5 - 5)^2 + (3 - 7)^2] = √[0^2 + (-4)^2] = √16 = 4 units.

Therefore, the area of rectangle QRST is:
Area = QR * RS = 6 * 4 = 24 square units.