Question

Can someone please help me! Big ideas 8.4 number 20

Answer 1

Answer: The perimeter is about 20.26 units

Explanation:

To calculate the distance between the points, we use the formula:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

where,

d = distance

`x_2\text{ and }x_1` are the coordinates of the points on x-axis

`y_2\text{ and }y_1` are the coordinates of the points on y-axis

For the given points:

B(0,3), C(4,-1), E(2,-3) and F(-2,1)

• Calculating the distance BC:

`x_2=4\\x_1=0\\y_2=-1\\y_1=3`

Putting values in above equation, we get:

`BC=√((4-(0))^2+(-1-3)^2)\\\\d=√(16+16)=5.66units`

• Calculating the distance CE:

`x_2=2\\x_1=4\\y_2=-3\\y_1=-1`

Putting values in above equation, we get:

`CE=√((2-(4))^2+(-3-(-1))^2)\\\\d=√(36+4)=4.47units`

To calculate the perimeter of a rectangle, we use the equation:

`Perimeter=2(l+b)` ....(1)

where,

l = length of the rectangle = BC = 5.66 units

b = breadth of the rectangle = CE = 4.47 units

Putting values in equation 1, we get:

`Perimeter=2(5.66+4.47)\\\\Perimeter=20.26 units`

Hence, the perimeter is about 20.26 units