Question

find the perimeter of rectangle bcef. round your answer to the nearest hundredth. a(-5,4) b(0,3) f(-2,1) c(4,-1) e(2,-3) d(4,-5) the perimeter is about units

Explanation:

Step1: Find length of BC

Use distance formula $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. For B(0, 3) and C(4, -1):
$$d_{BC} = \sqrt{(4 - 0)^2 + (-1 - 3)^2} = \sqrt{16 + 16} = \sqrt{32} \approx 5.66$$

Step2: Find length of BF

For B(0, 3) and F(-2, 1):
$$d_{BF} = \sqrt{(-2 - 0)^2 + (1 - 3)^2} = \sqrt{4 + 4} = \sqrt{8} \approx 2.83$$

Step3: Calculate perimeter of rectangle

Perimeter of rectangle = $2\times (length + width) = 2\times (d_{BC} + d_{BF})$
$$2\times (5.66 + 2.83) = 2\times 8.49 = 16.98$$

Answer:

16.98