Question
Find the area of rectangle QRST, with vertices Q(−1,7), R(5,7), S(5,3), and T(−1,3).
(1 point) units by the power of 2
(1 point) units by the power of 2
Answers
GPT 3.5
First, find the length of one side of the rectangle:
QR = √[(5 - (-1))^2 + (7 - 7)^2] = √(6^2) = 6
Next, find the width of the rectangle:
QS = √[(5 - (-1))^2 + (3 - 7)^2] = √(6^2 + 4^2) = √(36 + 16) = √52 = 2√13
Now, find the area of the rectangle:
Area = length x width = 6 x 2√13 = 12√13 square units.
Therefore, the area of rectangle QRST is 12√13 square units.
QR = √[(5 - (-1))^2 + (7 - 7)^2] = √(6^2) = 6
Next, find the width of the rectangle:
QS = √[(5 - (-1))^2 + (3 - 7)^2] = √(6^2 + 4^2) = √(36 + 16) = √52 = 2√13
Now, find the area of the rectangle:
Area = length x width = 6 x 2√13 = 12√13 square units.
Therefore, the area of rectangle QRST is 12√13 square units.