Question

What is the perimeter of rectangle EFGH?

/10+ /29 units
2/10 + 2/29 units
22 units
39 units

G= -3,4 (top left)
F= -4, 1 (bottom left)
H= 2,2 (top right)
E = 1. -1 (Bottom Right)

Answer 1

By definition, the perimeter of a rectangle is given by:

`image`

Where,

w: width of the rectangle

l: length of the rectangle

To find the width and length, we use the formula of distance between points:

`image`

For the width we have:

`image`

For the long we have:

`image`

Then, replacing values we have:

`image`

Answer:

the perimeter of rectangle EFGH is:

`image`

Answer 2

We need to identify the perimeter of the rectangle EFGH which has points as below:
G (-3, 4)
H (2, 2)
E (1, -1)
F (-4, 1)
The distance of EF, we have it:
d² = (-4-1) ² + (1--1)² = 25 + 4 = 29
d = √29
The distance from point F to point G:
d² = (-4--3)² + (1-4)² = 1 + 9
d = √10

Hence, we can solve for the perimeter as below:
Perimeter EFGH = 2L + 2W
Perimeter EFGH = 2(√29) + 2(√10)
Perimeter EFGH = 17.09 units

The answer is the second item in the choices or the letter B which is 2√10 + 2√29 units.