Variation on the rectangle/square problem:
The lower square base of the Washington Monument has a side 21 ft. more than the upper square base. Area of the lower base is 1869 sq. ft. more than the upper base. Determine dimensions of each square.
Area = length * width
Let x = lower base
Let y = upper base
Lower:
Side: x + 21 Side: x + 21 Area: (x + 21) (x + 21)
Upper:
Side: y Side: y Area: y^2
y^2 = (x + 21) (x + 21) + 1869
y^2 = x^2 + 21x + 21x + 441 + 1869
y^2 = x^2 + 42x + 2310
Unsure from here. Thanks.

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