217k views
2 votes
The length of a rectangle is double its width. The perimeter of the rectangle is 36 feet. What is the area, in square

feet, of the rectangle?

User Daichi
by
5.6k points

2 Answers

7 votes

Answer:

72 square feet

Explanation:

First, write the length of the rectangle in terms of the width, given that l is length and w is width. From the information given, l can be writen as 2w.

The perimeter of a shape is just the length of all the sides added up. For this rectangle that length would be: w+2w+w+2w. which simplifies to 6w. Now we get 6w=36, because we know from the information given that the perimeter of the rectangle is 36 feet. Dividing both sides by 6 gives w=6, and 2w (the length) = 12.

Finally, multiply the length by the width (12x6) for the area of the rectangle.

Hope this helps!

User Danglingpointer
by
6.2k points
0 votes

Answer:

72 square feet

Explanation:

the length is 12 and the width is 6. 12+12=24 and 6+6=12. 24+12=36

so 12x6= 72

User Joseph Toronto
by
5.3k points