Question

The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. Find the length and width of the

rectangle.
If w = the width of the rectangle, then the length equals
0w-4

Answer 1

Width = 6.5 inches

Length = 10.5 inches

Explanation:

Let

"l" be length of rectangle

and

"w" be width of rectangle

Since length of rectangle is 4 inches MORE THAN WIDTH, we can write:

l = 4 + w

The perimeter is sum of all sides, so

Perimeter = l + l + w + w = 2l + 2w

The perimeter is 34, so we can write:

2l + 2w = 34

Putting 1st equation in 2nd, we get equation in "w" and solve for this first:

`2l + 2w = 34\\2(4+w) + 2w = 34\\8+2w+2w=34\\4w=26\\w=(26)/(4)=6.5`

Width is 6.5 in

Now, l = 4 + w, so

l = 4 + 6.5 = 10.5

Length is 10.5 in