Answer: It is a function.
Answer:
944
Step-by-step explanation:
10,000,000+6,000,000+100,000+7,000+300+20
let x be the two sides 90deg to the house
house side = 180-2x
Draw a rectangle with length of 2 sides at right angle to house=x
Length of side parallel to house=180-2x
Garden area=x(180-2x)
=180x-2x^2
=-2x^2+180
x
complete the square:
=-2(x^2-90x)
=-2(x^2-90x+2025)+4050
=-2(x-45)^2+4050
so area is max at x-45=0
x=45
House side=180-2*45=90
Garden with the greatest area: 45 by 90 ft
Greatest area=45*90=4050 sq ft