Mathematics, 14.07.2020 14:01 nonispn606

Find the area and perimeter of shape ABCD with vertices A = (-1,-1), B = (2,3), C = (5,3), D = (8,-1).

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Answer from: GiaTeyy6536

Perimeter = 22

Step-by-step explanation:

To find the perimeter, we will follow the steps below:

A = (-1,-1), B = (2,3), C = (5,3), D = (8,-1).

First, we will find the distance AB

A = (-1,-1), B = (2,3)

|AB| = √(x₂-x₁)²+(y₂-y₁)²

x₁ = -1 y₁=-1 x₂=2 y₂=3

we can now proceed to insert the values into the formula

|AB| = √(x₂-x₁)²+(y₂-y₁)²

= √(2+1)²+(3+1)²

= √(3)²+(4)²

= √9 + 16

=√25

= 5

|AB| = 5

Next, we will find the distance BC

B = (2,3), C = (5,3),

|BC| = √(x₂-x₁)²+(y₂-y₁)²

x₁ = 2 y₁=3 x₂=5 y₂=3

we can now proceed to insert the values into the formula

|BC| = √(x₂-x₁)²+(y₂-y₁)²

= √(5-2)²+(3-3)²

= √(3)²+(0)²

= √9 + 0

=√9

= 3

|BC|=3

Next, we will find the distance CD

C = (5,3), D = (8,-1).

|CD| = √(x₂-x₁)²+(y₂-y₁)²

x₁ = 5 y₁=3 x₂=8 y₂=-1

we can now proceed to insert the values into the formula

|CD| = √(x₂-x₁)²+(y₂-y₁)²

= √(8-5)²+(-1-3)²

= √(3)²+(-4)²

= √9 + 16

=√25

= 5

|CD|=5

Next, we will find the distance DA

D = (8,-1) A = (-1,-1)

|DA| = √(x₂-x₁)²+(y₂-y₁)²

x₁ = 8 y₁=-1 x₂=-1 y₂=-1

we can now proceed to insert the values into the formula

|DA| = √(x₂-x₁)²+(y₂-y₁)²

= √(-1-8)²+(-1+1)²

= √(-9)²+(0)²

= √81 + 0

=√81

= 9

|DA|=9

PERIMETER = |AB|+|BC|+|CD|+|DA|

=5 + 3+5 +9

=22

Perimeter = 22

Answer from: Quest

38.6°

step-by-step explanation:

resultant is 10 pound

smaller force = 8 pound

angle formed = tan⁻¹( $\frac{smaller force}{resultant}$

=tan⁻¹( $\frac{8}{10}$

=tan⁻¹(0.8)

=38.6°

Answer from: Quest

i have no

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Find the area and perimeter of shape ABCD with vertices A = (-1,-1), B = (2,3), C = (5,3), D = (8,-1...

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