23.8k views
5 votes
the perimeter of a rectangle is 524cm. the length is 42 cm more than the width. what is the length of the rectangle

User Kseeker
by
5.4k points

1 Answer

4 votes

Answer:

The length is 152 centimeters.

Explanation:

Since the perimeter of a rectangle is the width plus the length multiplied by 2, you can set up a simple system of equations to solve this problem.

2l+2w=524

l=w+42

Now, you can substitute this back into the first equation:

2(w+42)+2w=524

4w+84=524

w=110

l=152

Hope this helps!

User Rob Lourens
by
5.1k points