A square patio has an area of 140 square feet. How long is each side of the patio to the nearest tenth?

11.8 ft

Step-by-step explanation:

mathematically, we know that the area of a square is the square of its side

Let the measure of the side of the patio be p

Mathematically;

p^2 = 140

p = √140

p = 11.83

To the nearest tenth, this is 11.8 ft

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)