a rectangle parking lot has an area of 1775 square meters and a perimeter of 192 meters what is it dimension

71 & 25 m

Step-by-step explanation:

a • b = 1775

2a + 2b = 192

substitution:

a = 1775/b

2(1775/b) + 2b = 192

distribute the 2

(3550/b) + 2b = 192

subtract 192 from both sides

(3550/b) + 2b - 192 = 0

transform the expression by dividing all terms by b

(3550 + 2b² - 192b) / b = 0

when the quotient of expressions equals 0, the numerator has to be 0

3550 + 2b² - 192b = 0

reorder the terms

2b² - 192 b + 3550 = 0

divide by sides by 2

b² - 96b + 1775 = 0

rewrite -96b as a difference using factoring X

b² - 25b - 71b + 1775 = 0

factor the expression (factor out b)

b (b-25) - 71b + 1775

factor out b - 25 from the expression

(b - 25) (b - 71) = 0

if b = 25 or 71, then a = 71 or 25

71 & 25 m

b

step-by-step explanation:

17.08

correct me if i am wrong.