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Answer:
The original area of the square was 24
Step-by-step explanation:
Let's say the dimension of the new square is 9 and 10, that'll make 90
Let's say the original dimensions were 9 - 7, 10 + 2 which is 2, 12
The area of the original dimensions is 24 square feet and they altered that to make the resulting rectangle 90 square feet.
Answer:
The area of the original SQUARE is 64 sq feet. x = 8
It was an 8 × 8 SQUARE.
Step-by-step explanation:
Let x = the original side length.
x + 7 is a new side
x - 2 is the other new side. Its a rectangle now.
Area of a rectangle:
A = length × width
A = (x+7)(x-2)
90 = x^2 +5x -14
Solve. Subtract 90.
0 = x^2 + 5x - 104
Factor.
0 = (x + 13)(x - 8)
x + 13 = 0 and x-8=0
x = -13 and x = 8
-13 is discarded because lengths cannot be negative.
x = 8 is the original side length of the square.
Area is 8×8 = 64 sqft