the perimeter of a rectangle is 74ft. the length of the rectangle is 7 ft more than the width. what are the dimensions of a rectangle?
The perimeter of a rectangle is the sum of the side lengths, which is equal to 2 times the length plus 2 times the width.
Let the width be x. Since the length is 7 feet more than the width, the length will be x+7.
Add up the four side lengths and you get (x) + (x) + (x+7) + (x+7) = 74.
Combine like terms: 4x + 14 = 74.
Subtract 14 from both sides: 4x + 14 - 14 = 74 - 14
4x = 60
Divide both sides by 4: 4x/4 = 60/4
So x = 15. Since x was the width, the width is 15, and the length is x+7 or 22.