if the side of a square are length by 3 cm the area becomes 121 CM square find the perimeter of the original square
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Answer:
hiiii
your answer is here !
Step-by-step explanation:
let x = side of the original square
then
(x+7) = side of the larger square which = 121 sq/cm
we can write this like this:
(x+7)^2 = 121
FOIL
x^2 + 14x + 49 = 121
:
x^2 + 14x + 49 - 121 = 0
:
x^2 + 14x - 72 = 0
Factor
(x + 18)(x - 4) = 0
Positive solution
x = 4 cm, size of the original square
:
:
Check: (4+7)^2 = 121
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