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Can someone please help me with this math problem, ASAP? The problem is in the picture, THANKS!

Can someone please help me with this math problem, ASAP? The problem is in the picture-example-1
User Surasak
by
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1 Answer

5 votes

Answer:

Length = Width = 55

Explanation:

Perimeter of rectangle = 2(length + width)

Let x = length; let y = width.

perimeter = 2(x + y)

The perimeter must be 220.

2(x + y) = 220

x + y = 110

y = 110 - x

length = x

width = 110 - x

area = length × width

area = x(110 - x)

area = 110x - x²

A = 110x - x²

Take the first derivative of the area function and set equal to zero. Then solve for x.

A' = 110 - 2x

110 - 2x = 0

2x = 110

x = 55

y = 110 - x = 110 - 55 = 55

Answer: Length = Width = 55

User Usama Karim
by
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