The length of a rectangle is 4 more than its width. The perimeter is 40 feet. What are the length and width of the rectangle?
Hint: The perimeter of a rectangle is given by the formula P = 21 + 2w.
O The width is 12 ft and the length is 8 ft.
O The width is 7 ft and the length is 13 ft.
O The width is 13 ft and the length is 7 ft.
O The width is 8 ft and the length is 12 ft.
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21/2 or 5/2

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