A rectangular field at a farm has an area of x2+19x+48 square meters one side of the field is (x+3) meters long. What is the length of the other side of the field

Step-by-step explanation:

The area of the rectangular field is:

Whose factorized form is:

The area of an rectangle is the product of the width and length. Since one side is equal to , the length of the other side is .

Length = (x+16)

Step-by-step explanation:

Area of rectangle = L × B

L = A/B

Where A =  x2+19x+48 square meters

B = (x+3) metres

Therefore,

L = (x2+19x+48)/(x+3)

Factories the numerator

L = (x +3)(x+16)/(x+3)

L = x+16

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

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