Wednesday

April 16, 2014

April 16, 2014

Posted by **Brooklyn** on Tuesday, March 15, 2011 at 1:05pm.

I know that A=L times W.

I know that 100 = 2L+2w

Subtract 2L from both sides:

100-2L=2W

Divide by two: 50-L=W

Substitute in original equation:

A=LW A=L(50-L)

A= 50L - L squared Now I am stuck.

- College Algebra -
**tchrwill**, Wednesday, March 16, 2011 at 11:50amConsidering all rectangles with the same perimeter, the square encloses the greatest area.

Proof: Consider a square of dimensions x by x, the area of which is x^2. Adjusting the dimensions by adding a to one side and subtracting a from the other side results in an area of (x + a)(x - a) = x^2 - a^2. Thus, however small the dimension "a" is, the area of the modified rectangle is always less than the square of area x^2.

**Related Questions**

Algebra - You have 50 yards of fencing to enclose a rectangular region. Find the...

Math - Diana has 520 yards of fencing to enclose a rectangular area. Find the ...

Math - A rancher has 220 feet of fencing to enclose a rectangular corral. Find ...

Math - Peter has 1200 yards of fencing to enclose a rectangular area. Find the ...

Math OPTIMIZATION - A home gardener plans to enclose two rectangular gardens ...

College Algebra - A rancher wishes to enclose a rectangular partitioned corral ...

college algebra - Shondra wants to enclose a rectangular garnden with 240 yards ...

Math - Corinda has 400 feet of square fencing to make a play area. She wants the...

College Algebra - You have 800 feet of fencing to enclose a rectangular plot ...

Algebra 2 - A rancher is fencing off a rectangular area with a fixed perimeter ...