20-4x-15-4x=-6x-45+8x

x = 5

Step-by-step explanation:

Hey there! If you have any questions, feel free to let me know in the comments.

Step 1: Simplify  20 - 4x - 15 - 4x  to  5 - 8x.

5 - 8x = -6x - 45 + 8x

Step 2: Simplify -6x - 45 + 8x to 2x - 45.

5 - 8x = 2x-44

Step 3: Add 8x to both sides.

5 = 2x - 45 + 8x

Step 4: Simplify 2x - 45 + 8x to 10x - 45.

5 = 10x - 45

Step 5: Add 45 to both sides.

5 + 45 = 10x

Step 6: Simplify 5 + 45 to 50.

50 = 10x

Step 7: Divide both sides by 10.

50/10 = 10x/10

Step 8: Simplify 50/10 to 5.

x = 5

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source