Question

A rectangular garden is 10 feet long and 5 feet wide. A second rectangular garden has dimensions that are 9/8 the dimensions of the first garden. What is the percent of change in the perimeter from the first garden to the second garden?

Answer 1

Answer:

The answer to your question is  12.5 %

Step-by-step explanation:

Data

length = 10 ft

width = 5 ft

Proportion 9/8

Process

1.- Calculate the perimeter of the original rectangle

Perimeter 1 = 2l + 2w

-Substitution

                   = 2(10) + 2(5)

                   = 20 + 10

                   = 30 ft

2.- Calculate the dimensions of the second rectangle

length = 9/8 (10) = 90/8 = 45/4

width = 9/8 (5) = 45/8

3.- Calculate the perimeter of the second rectangle

Perimeter 2 = 2(45/4) + 2(45/8)

                    = 22.5 + 11.25

                    = 33.75 ft

4.- Calculate the percent of change

                     30 ft -------------------- 100%

                     33.75 ft ---------------- x

                     x = (33.75 x 100) / 30

                     x = 3375/30

                     x = 112.5

Change = 112.5 - 100

Result

             = 12.5 %