A long piece of wood of length 2.0 m is broken into 4 pieces with two pieces of length a and the other two pieces of length

b. the four pieces are put together to form a rectangle. find b if your aim is to have a rectangle with the maximum area.

Question

Bryanna King

Mathematics

15 July, 05:20

A long piece of wood of length 2.0 m is broken into 4 pieces with two pieces of length a and the other two pieces of length

b. the four pieces are put together to form a rectangle. find b if your aim is to have a rectangle with the maximum area.

+2

Answers (1)

Know the Answer?

Wilber · Answer 1

Best Answer: 2a+2b=4 a+b=2 a=2-b Let area of the rectangle is A so A=a*b A = (2-b) b A=2b-b^2 taking derivative of both sides of above equation with respect to b we get, dA/db=2-2b for maximum A dA/db=0 2-2b=0 b=1 so, b=1 meter

A long piece of wood of length 2.0 m is broken into 4 pieces with two pieces of length a and the other two pieces of lengthb. the four pieces are put together to form a rectangle. find b if your aim is to have a rectangle with the maximum area.

A long piece of wood of length 2.0 m is broken into 4 pieces with two pieces of length a and the other two pieces of length

b. the four pieces are put together to form a rectangle. find b if your aim is to have a rectangle with the maximum area.