Question

5. The length of a rectangle is 3 centimeters more than 3 times the width. If the perimeter of the rectangle is 46 centimeters, find the dimensions of the rectangle.

Answer 1

length = 18 cm; width = 5 cm

Explanation:

So we know the length of the rectangle is 3 centimeters more than 3 times the width. In other words, we can rewrite that as 3w + 3

Length = L W = Width

Perimeter: 46 centimeters

Solve for the perimeter:

Perimeter of a rectangle: 2L + 2W

2(3w + 3) + 2w = 46

6w + 6 + 2w = 46

8w + 6 = 46

8w = 40

w = 40/8 or 5

The width of the rectangle is 5

now that we know the width, we can solve for the length

Length = 3w + 3

3(5) + 3

15 + 3

18

The length of the rectangle is 18