Question

Find the area of rectangle QRST , with vertices Q(−1,7) , R(5,7) , S(5,3) , and T(−1,3) .(1 point)
units2

Answer 1

by the power of 2

Answer 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.