Question

Find the perimeter of rectangle b c e f​

Answer 1

The calculated perimeter of the rectangle BCEF is 17 units

What is the perimeter of the rectangle BCEF

From the question, we have the following parameters that can be used in our computation:

The trapezoid

Where, we have the following coordinates

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

The distance and the lengths between the points can be calculated using

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Using the above as a guide, we have the following:

BC = √[(0 - 4)² + (3 + 1)²] = 5.7

CD = √[(4 - 2)² + (-1 + 3)²] = 2.8

EF = √[(2 + 2)² + (-3 - 1)²] = 5.7

FB = √[(0 + 2)² + (4 - 1)²] = 2.8

The perimeter is the sum of the side lengths

So, we have

Perimeter = 2 * (5.7 + 2.8)

Evaluate

Perimeter = 17 units

Hence, the perimeter of the rectangle is 17 units

Answer 2

Perimeter is 12 sqrt(2)

Explanation:

To obtain the perimeter of the shown rectangle we need to obtain the dimensions of its sides.

Since all we have are coordinates, we need to apply the equation for distance between points.

That is

`d=\sqrt{(x_(2)-x_(1))^2 +(y_(2)-y_(1))^2  }`

To obtain BF we need to use the following points from the graph:

(x2,y2)=(0,3)

(x1,y1)=(-2,1)

BF=SQRT(4+4)=SQRT(8)=2 sqrt(2)

To obtain BF we need to use the following points from the graph:

(x2,y2)=(4,-1)

(x1,y1)=(0,3)

BC=SQRT(16+16)=SQRT(32)=4 SQRT(2)

The perimeter can be obtained 2*(2*sqrt(2)) +2* (4*sqrt(2))= 4 sqrt(2)+8 sqrt(2)=12 sqrt(2).

We only need two sides since the others are opposite and have the same length