SOLUTION: Hi a rectangle has the following sides the widths are x^2 & y respectively the lengths are 4y+8 & 20x-16 respectively one side must have an odd integer length. what

Question 1134255: Hi
a rectangle has the following sides
the widths are x^2 & y respectively
the lengths are 4y+8 & 20x-16 respectively
one side must have an odd integer length.
what is the perimeter.
Thanks
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The two widths are equal, and the two lengths are equal:
y = x^2
4y+8 = 20x-16 --> 4y = 20x-24 --> y = 5x-6

So

x^2 = 5x-6
x^2-5x+6 = 0
(x-3)(x-2) = 0

x could be either 3 or 2; check to see which (if either) satisfies all the conditions of the problem.

If x = 2 then y = x^2 = 4; the dimensions are 2 and 4. Not right -- the problem says one dimension has to be an odd integer.

If x = 3 then y = x^2 = 9; the dimensions are 3 and 9. This is okay; both dimensions are odd integers.

Now you can find the perimeter to answer the question.
RELATED QUESTIONS
The sides of an equilateral triangle are given as y+5 , 2x-7 and x+y-9 respectively. Find (answered by swincher4391)

How do I find the area of a rectangle whose lengths are x-7 and widths are... (answered by solver91311)

In the diagram of rhombus ABCD, the lengths of the sides AB and BC are represented by 3x... (answered by robertb)

The lengths of the sides of a right angled triangle are x+1, x and 4 cm respectively.... (answered by ikleyn)

a rectangle has an area of 18 square meters. the length and width are whole numbers. what (answered by Fombitz)

if the lengths of the sides of one triangle are 8 inches,10 inches, and 12... (answered by TimothyLamb)

if the lengths of the sides of one triangle are 2 inches 5 inches and 7 inches... (answered by richard1234)

find the length of the diagonal of a rectangle whose sides are radical 5 inches and 2... (answered by checkley77)

Trapezoid ABCD has parallel sides AB and CD, of lengths 8 and 16, respectively.... (answered by ikleyn)