A rectangle has vertices E(1,7), F(3,7), G(3,4) , and H(1,4) . Use the coordinates to find the perimeter of the rectangle. __ units

Respuesta :

Answer:

  10 units

Step-by-step explanation:

You want the perimeter of the rectangle with vertex coordinates E(1,7), F(3,7), G(3,4) , and H(1,4).

Sides

The lengths of the sides can be found by counting grid squares or subtracting coordinate values.

The distance between E and F, for example is 3 - 1 = 2 units on the horizontal line y = 7.

Similarly, the distance between F and G is 7 - 4 = 3 units on the vertical line x = 3.

Perimeter

Opposite sides of the rectangle are the same length. The perimeter is the sum of side lengths, so will be ...

  P = 2(L +W) = 2(3 +2) = 10 . . . . units

The perimeter of the rectangle is 10 units.

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