Answer:
The area of the new pumpkin patch can be represented as = 15 x² + 380 x + 2400
Step-by-step explanation:
Given as:
The length of the original patch is L = 40 meters
The width of the original patch is W = 60 meters
Thus, the area of the rectangular patch is calculated as Length × Width
Or, = L × W
So, = 40 meters × 60 meters
Or, = 2400 meters²
Moreover, the width of the new patch becomes (40 + 3 x) meters
And the length of the new patch becomes (60 + 5 x) meters
Or, = L × W
Thus, = (40 + 3 x) meters × (60 + 5 x) meters
Or, = 2400 + 200 x + 180 x + 15 x²
Or, = 15 x² + 380 x + 2400
Therefore, the area of the new pumpkin patch is given by = 15 x² + 380 x + 2400 Answer