Find the area of rectangle QRST , with vertices Q(−1,7) , R(5,7) , S(5,3) , and T(−1,3) .(1 point)
units2
by the power of 2
To find the area of the rectangle QRST, we can use the formula for the area of a rectangle:
Area = length x width
First, we need to find the length and width of the rectangle.
Length:
To find the length, we can use the formula for distance between two points in a coordinate plane:
Distance = √((x2-x1)^2 + (y2-y1)^2)
Using points Q(-1,7) and R(5,7):
Length = √((5-(-1))^2 + (7-7)^2)
Length = √((6)^2 + (0)^2)
Length = √(36 + 0)
Length = √36
Length = 6
Width:
To find the width, we can use the formula for distance between two points in a coordinate plane:
Using points Q(-1,7) and T(-1,3):
Width = √((-1-(-1))^2 + (3-7)^2)
Width = √((-1+1)^2 + (-4)^2)
Width = √(0^2 + 16)
Width = √16
Width = 4
Now that we have the length and width, we can find the area:
Area = 6 x 4
Area = 24 square units
Therefore, the area of rectangle QRST is 24 square units.