What is the area of a rectangle with vertices located at ( -1 , 1) , (-1 , -4 ) , ( 5, -4 ) and (5 , 1 )

30

Step-by-step explanation:

units from (-1,1) to (5,-1) and (-1,-4) to (5,-4) = 6 units

units from (-1,1) to (-1,-4) and (5,-1) to (5,-4) = 5 units

area of rectangle = L X b

                             = 6 X 5

                             = 30

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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