1)When one side of a square is decreased by 7cm, the area becomes 625 sq.cm.
a). Take the side of first square as x, form the equation
b). Find the side of the original square
Answers
Given→
If side is decreased by 7 cm , then the area = 625 cm².
To find→
a) equation
b) original side
Solution→
a). Equation = ?
Area of the square = side²
Side of the original square = x
Area of the original square = x²
According to question,
( x - 7 )² = 625
x²-2(x)(7) + 7² = 625
x²-14x+ 49-625 = 0
x²-14x-576 = 0
b) side of the original square = ?
x² - 32x + 18x -576 = 0
x(x-32) + 18 (x- 32) = 0
(x+ 18 )(x- 32) = 0
x= -18 or x = 32
rejecting x = -18 as side can't be negative
x = 32
Therefore, side of the original square is 32 cm.
Hope it's helpful :-)
Answer:
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