Write and solve a system of linear equations to find the length and the width of a rectangle

The perimeter of a rectangle is 138 inches. The length exceeds the width by 65 inches. Find the length and width.

Solution

P = 2l + 2w

l = w + 65

Substitute 138 for P and w + 65 for l

138 = 2( w + 65) + 2w

138 = 2w + 130 + 2w

138 = 4w + 130

138 - 130 = 4w + 130 - 130

8 = 4w

8/4 = (4/4)w

2 = w

l = 2 + 65 = 67

Comments for Write and solve a system of linear equations to find the length and the width of a rectangle

Average Rating starstarstarstarstar

Click here to add your own comments

May 12, 2015
Rating
starstarstarstarstar 		Great Stuff
by: Cathy Roberson

This is such a great resource that you are providing and you give it away for free. It gives in depth information. Thanks for this valuable information.
Apr 18, 2015
Rating
starstarstarstarstar 		That was a good sum
by: Anonymous

That was a good sum, just need to concentrate on the procedure. This is an incredible blog to get the best basic in math and cope with each sum and procedures.
Feb 12, 2015
Rating
starstarstarstarstar 		maths is easy says who
by: mindy

I think there is nothing to be confused in this. Just substitute everything in the equation. This is actually one of the easiest questions I guess.
Jan 09, 2015
Rating
starstarstarstarstar 		Excellent!
by: Anonymous

Geometry has always been my favorite area in mathematics. Geometry has a major impact on our everyday lives. I have read that Euclidean geometry is the basic form of geometry. All the problems related to areas and volumes are dealt here.

Dec 17, 2012
Rating
starstarstarstarstar 		confused looking for method to solve
by: Anonymous

I was confused

Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to System of linear equations.



Tough algebra word problems

100 Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!

Math quizzes

 Recommended