A gardener is planting two types of trees:

Type A is 5 feet tall and grows at a rate of 13inches per year.

Type B is 3 feet tall and grows at a rate of 21 inches per year.

Algebraically determine exactly how many years it will take for these trees to be the same height.

it will take 0.25 years for these trees to be the same height.

Step-by-step explanation:

Let x represent the number of years that it will take these trees to be the same height.

Type A tree is 5 feet tall and grows at a rate of 13 inches per year. This means that the total height of Type A tree after x years would be

13x + 5

Type B tree is 3 feet tall and grows at a rate of 21 inches per year. This means that the total height of Type B tree after x years would be

21x + 3

For both trees to be of the same height, the number of years would be

13x + 5 = 21x + 3

21x - 13x = 5 - 3

8x = 2

x = 2/8 = 0.25

the perimeter is increased by a factor of 2