Audrey read that the area of a new shopping mall is 57,600square feet. what are the greatest and least possible actual areas of the mall if 58,000 square feet is an estimate to the nearest thousand?

Thousand is the fourth place from the left. The number is rounded up if the number before it is 5 or greater and rounded down if the number before it is 4 or less. 

The greatest number that would be the value of the actual area is,
    58449

The least number that the actual area could take is,
      57500

ANSWER: 58449 and 57500

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

3cm and 6 and 9 cm that a possibility of that question