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Answers
Answer:Let S be the side length before the increase, the area A1 is given by
A1 = S 2
Let S + 2 the side after the increase, the area A2 is given by
A2 = (S + 2) 2
But A2 = A1 + 44, hence
A1 + 44 = (S + 2) 2
Substitute A1 by S 2 in the above equation.
S 2 + 44 = (S + 2) 2
Expand, group like terms and rewrite the equation as follows.
4 S = 40
Solve for S.
S = 10 feet.
As an exercise, find areas for S = 10 and for S = 12 and check the the difference is 44 feet 2
Step-by-step explanation:
Step-by-step explanation:
Answer:Let S be the side length before the increase, the area A1 is given by
A1 = S 2
Let S + 2 the side after the increase, the area A2 is given by
A2 = (S + 2) 2
But A2 = A1 + 44, hence
A1 + 44 = (S + 2) 2
Substitute A1 by S 2 in the above equation.
S 2 + 44 = (S + 2) 2
Expand, group like terms and rewrite the equation as follows.
4 S = 40
Solve for S.
S = 10 feet.
As an exercise, find areas for S = 10 and for S = 12 and check the the difference is 44 feet 2