a + b = 88 <span>
<span>
</span><span>ab = y
</span><span>
</span><span>a = 88 - b
</span><span>
</span><span>y = (88 - b)*b
</span>
<span>y = -b^2 + 88b
</span><span>
</span><span>Take the derivative and set equal to 0
</span><span>
</span><span>y' = -2b + 88 = 0
</span><span>
</span><span>2b = 88
</span>
<span>b = 44 </span></span>
<span><span>a=44</span></span>
<span><span> both numbers are 44</span></span>
The common denominator is 35
Multiply 5/7 top and bottom by 5
Multiply 3/5 top and bottom by 7
The answer is 90 degrees because 62+28=90 and the area of a triangle is 180 degrees so 180-90=90
Let the Width be x cm
Then the length which is 5cm more than width must be (x+5) cm
Using the formula for the area = length* width
x(x+5) =50
(Distribute x on the parenthesis )
(subtract 50 )
(Factor)
we get
(Not x=-10 because negative side length not possible)
Width = 5 cm
Length = 5+5= 10 cm
Perimeter = 2(Length + width)
So
Perimeter = 2(10+5)
Perimeter = 2*15=30 cm
