Friday

January 30, 2015

January 30, 2015

Posted by **Anonymous** on Saturday, June 12, 2010 at 9:51pm.

- algebra -
**MathMate**, Saturday, June 12, 2010 at 10:18pmLet x be the short side, then the long side is (x+1).

By Pythagoras theorem, the diagonal is

√(x²+(x+1)²)

=&radic(2x²+2x+1)=5

Square both sides to get

2x²+2x+1 = 5

2(x²+x-2)=0

2(x+2)(x-1)=0

Solve for x and reject the root that is negative.

- algebra-correction -
**MathMate**, Sunday, June 13, 2010 at 9:22amSorry, there was a mistake in the above solution. Here's the corrected version.

√(x²+(x+1)²)

=√(2x²+2x+1)=5

Square both sides to get

2x²+2x+1 = 25

2(x²+x-12)=0

2(x-3)(x+4)=0

Solve for x and reject the root that is negative.

**Answer this Question**

**Related Questions**

algebra , help - Can someone help me set up the equations thanks. Directions: ...

Geometry - The length of a rectangle is 1cm longer than its width. If the ...

math,correction - can someone correct this for me thanks. The length of a ...

Algebra/geometry - a rectangle has a width of 4 cm less than it's length. if a ...

algebra - The length of a rectangle is 3 more than twice the width. The area of ...

Algebra - A rectangle was 25 cm longer than it was wide. A new rectangle was ...

Geometry - How do I set this up to work it? The length of a rectangle is 1 cm ...

algebra - Rectangle Dimensions The length of a rectangle is 7 inches longer than...

College Algebra - Suppose that the length of a rectangle is 3 inches longer than...

math - The length of a rectangle is 2 inches longer than the width. The area of ...