Better Students Ask More Questions.
The length of a rectangle is three times as long as the width. If each side is...
1 Answer | add yours
High School Teacher
Since length of rectangle is three times as long as the width we have
Also, if we increase each side by 6 (new sides are `a+6` and `b+6` ) the area of rectangle increases by 156 and since the area of rectangle is equal to product of it' two sides we get
Now we use (1) to replace `a` with `3b` in (2).
`(3b+6)(b+6)=3b cdot b+156`
Now from (1) we get
So dimensions of old rectangle are `a=15` and `b=5` and since new rectangle has each side longer by 6 the new dimensions are `a=21` and `b=11.`
Posted by tiburtius on April 21, 2013 at 8:12 AM (Answer #1)
Join to answer this question
Join a community of thousands of dedicated teachers and students.