Friday

August 22, 2014

August 22, 2014

Posted by **Me & u** on Saturday, February 25, 2012 at 4:10pm.

Can anyone help with this using quadratics? Please!

- Math 12A -
**Steve**, Saturday, February 25, 2012 at 4:31pmIf the points are located so that each side is divided into sections of length x and (20-x), then the side (s) of the inner square can be calculated

s^2 = x^2 + (20-x)^2

the are of the inner square is thus

a(x) = s^2 = x^2 + (20-x)^2 = 2x^2 - 40x + 400

That is just a parabola with vertex at x = 40/4 = 10

So, the minimum size of the inner square is just 10*10 = 100, or 1/4 the area of the outer square, when its sides are half as long as the outer sides.

**Related Questions**

physics - Given that the side of the square has a length b-a, find the area of ...

math - if the sides of a square are increased by 5 cm the area of the new square...

Math word problem - A small circular pool is enclosed in a square. Find the area...

math - the base of a right cylinder is shown in the figure(not included). it is ...

math - determine the area of triangle abc when side ab= square root of x, side ...

maths - how many square tiles each with side 20cm must be used for a square ...

mat117/algebra - If the sides of a square are increased by 3 cm, the area is ...

Math Homework - 1) Given the side of a square pyramid is 6cm and the altitude is...

Physics 2 - four equal-magnitude (4uc)charges are placed at the four corners of ...

algebra 1 - A high school wrestling mat must be a square with 38-foot sides and ...