Find the area of rectangle QRST , with vertices Q(−1,7) , R(5,7) , S(5,3) , and T(−1,3) .(1 point)
To find the area of the rectangle QRST, we can use the formula for the area of a rectangle which is length times width.
The length of the rectangle QRST is the distance between points Q and R, which can be found using the distance formula:
sqrt((5 - (-1))^2 + (7 - 7)^2) = sqrt(6^2 + 0^2) = sqrt(36) = 6
The width of the rectangle QRST is the distance between points R and S, which can be found using the distance formula:
sqrt((5 - 5)^2 + (7 - 3)^2) = sqrt(0^2 + 4^2) = sqrt(16) = 4
Therefore, the area of rectangle QRST is:
Area = length x width
Area = 6 x 4
Area = 24
So, the area of rectangle QRST is 24 square units.
It's incorrect
To find the area of the rectangle QRST, we need to use the coordinates of the vertices to calculate the length and width.
The length of the rectangle QRST is the distance between points Q and R, which can be found using the distance formula:
Length = sqrt((5 - (-1))^2 + (7 - 7)^2) = sqrt(6^2 + 0^2) = sqrt(36) = 6
The width of the rectangle QRST is the distance between points R and S, which can be found using the distance formula:
Width = sqrt((5 - 5)^2 + (7 - 3)^2) = sqrt(0^2 + 4^2) = sqrt(16) = 4
Therefore, the area of rectangle QRST is:
Area = Length x Width
Area = 6 x 4
Area = 24
So, the area of rectangle QRST is 24 square units.