Find the perimeter of rectangle EFGH , with vertices E(−3,9) , F(1,9) , G(1,−5) , and H(−3,−5) .

Answer 1

To find the perimeter of the rectangle, we need to add up the lengths of all four sides.

First, let's find the length of side EF:
EF = √[(1 - (-3))^2 + (9 - 9)^2] = √[(4)^2 + 0^2] = √16 = 4

Next, let's find the length of side FG:
FG = √[(1 - 1)^2 + (-5 - 9)^2] = √[0^2 + (-14)^2] = √196 = 14

The other two sides, GH and EH, are also the same length as EF and FG respectively.

Therefore, the perimeter of rectangle EFGH is:
Perimeter = EF + FG + GH + EH
Perimeter = 4 + 14 + 4 + 14
Perimeter = 36

So, the perimeter of rectangle EFGH is 36.