Question

Graph rectangle TUVW with vertices T(6,-4), U(-8, -4), V(-8, 8), and W(6, 8). -104 -10 -8 -6 -4 Perimeter -2 -8- -6- -4- -2- 0 -2- -4- -6- -8- What is the perimeter of rectangle TUVW? 2 units 4 6 8 X 10 help​

Answer 1

The perimeter of rectangle TUVW is 52 units.

To find the perimeter of rectangle TUVW, you'll want to calculate the sum of the lengths of all four sides.

The formula for the perimeter of a rectangle is

2×(length+width).

Given the coordinates of the vertices:

T(6, -4)

U(-8, -4)

V(-8, 8)

W(6, 8)

First, let's find the length and width of the rectangle:

The length is the difference in x-coordinates between T and U (or V and W), and the width is the difference in y-coordinates between T and V (or U and W).

Length = ∣6−(−8)∣=∣6+8∣=14

Width = ∣(−4)−8∣=∣−4−8∣=12

Now, use the formula for the perimeter:

2×(length+width)=2×(14+12)=2×26=52

So, the perimeter of rectangle TUVW is 52 units.