Answer:
diving board has a length of 20 feet and a width of 2 feet
Explanation:
diving board has a length of 20 feet and a width of 2 feet
Area = length (l) x width (w)
lw = 40
Perimeter = 2l + 2w
we can solve for 'l' and have:
l = 40/w
now substitute 40/w in for 'l' in the perimeter formula to get:
2(40/w) + 2w = 44
distribute through by 2 to get:
80w + 2w² = 44w
we can create the quadratic equation: 2w²-44w + 80 = 0
we can factor out a 2 to get:
2(w² - 22w + 40) = 0
2(w-20)(w-2) = 0
w = 20 and 2