MATH SOLVE

3 months ago

Q:
# Joe wants to enlarge the rectangular pumpkin patch located on his farm. The pumpkin patch is currently 40 meters wide and 60 meters long. The new pumpkin patch will be 3x meters wider and 5x meters longer than that of the original pumpkin patch. Which of the following functions will give the area of the new pumpkin patch in square meters?

Accepted Solution

A:

Answer:The area of new pumpkin patch is [tex]Area_2[/tex] = 15 x² + 380 x + 2400Step-by-step explanation:Given as :The length of rectangular patch = L = 40 meters The width of rectangular patch = W = 60 meters So, The area of rectangular patch = Length × Width Or, [tex]Area_1[/tex] = L × WSo , [tex]Area_1[/tex] = 40 meters × 60 meters Or, [tex]Area_1[/tex] = 2400 meters² Again The Width of new Patch = ( 40 + 3 x ) meterAnd The Length of new Patch = ( 60 + 5 x ) meterOr, [tex]Area_2[/tex] = L × WSo ,[tex]Area_2[/tex] = ( 40 + 3 x ) meters × ( 60 + 5 x ) meters Or, [tex]Area_2[/tex] = 2400 + 200 x + 180 x + 15 x² Or, [tex]Area_2[/tex] = 15 x² + 380 x + 2400Hence The area of new pumpkin patch is [tex]Area_2[/tex] = 15 x² + 380 x + 2400 Answer