Find the perimeter of rectangle EFGH , with vertices E(−3,9) , F(1,9) , G(1,−5) , and H(−3,−5) .
To find the perimeter of a rectangle, we need to add up the lengths of all four sides.
The distance between points E and F is the difference in the x-coordinates, which is |1 - (-3)| = 4 units.
The distance between points F and G is the difference in the y-coordinates, which is |9 - (-5)| = 14 units.
The distance between points G and H is the difference in the x-coordinates, which is |1 - (-3)| = 4 units.
The distance between points H and E is the difference in the y-coordinates, which is |9 - (-5)| = 14 units.
Adding these lengths together, the perimeter of rectangle EFGH is 4 + 14 + 4 + 14 = 36 units.