A square is altered so that one dimension is increased by 5 meters and the other is increased by 3 meters. If the area of the resulting rectangle is 99 meters, find the area of the original square.
Answers
Answered by
3
Answer:
49
Step-by-step explanation:
Let the length of the square be x.
Then, its area = x²
Now,
New dimensions are x+5, x+3
New area = (x+5)(x+3) = 99
=> x² + 8x +15 = 99
=> x² + 8x - 84 = 0
Using, Middle term splitting
=> x² +12x-7x - 84 = 0
=> x(x+12) -7(x+12) = 0
=> (x-7)(x+12) = 0
=> x = 7 (Because, x can't be -12, as it is the length)
Area of square = x² = 49
Similar questions