A gardener has 100 meters of fencing to enclose two adjacent rectangular gardens, as shown in the figure. 4x + 3y = 100 (a) Write the area of the enclosed region as a function of x. 8 2 200 A(x) = 3 + 3 (b) Use a graphing utility to generate additional rows of the table. (Round your answers to one decimal place.) X y Area 2 92 x 30.7 3 368 ~ 122.7 3 4 28 224 6 25.3 V 304 8 22.7 V 362.7 10 20 V 400 12 17.3 V 416 14 14.7 V 410.7 Use the table to estimate the dimensions that will produce a maximum area. (Round your answers to one decimal place.) longer side 2x = 24 mUse the graph to estimate the dimensions that will produce a maximum area. (Round your answers to one decimal place.) longer side 2x = 25 m shorter side y = 16.7 m (d) Use the graph to approximate the dimensions such that the enclosed area is 246 square meters. (Round your answers to one decimal place.) Smaller value of X: longer side y = 23.3 m shorter side 2X = m Larger value of X: longer side 2x = 35 x m shorter side y = m (e) Find the required dimensions of part (d) algebraically. (Round your answers to one decimal place.) Smaller value of X: longer side y = 23.3 x m shorter side 2x = m Larger value of X: longer side 2X = 35 X shorter side y = m