Question

Item 16

A rectangular garden is 5 feet long and 3 feet wide. A second rectangular garden has dimensions that are double the dimensions of the first garden. What is the percent of change in perimeter from the first garden to the second garden?

Answer 1

Percentage change in perimeter is 100%.

Explanation:

• Step 1: Given length of rectangle 1, length = 5 ft and breadth = 3 ft.

Calculate perimeter of R1 = 2 (length + breadth) = 2 (5 + 3) = 16 ft

• Step 2: Given dimensions of 2nd rectangle is twice the first, length = 10 ft and breadth = 6 ft.

Calculate perimeter of R2 = 2 (10 + 6) = 32 ft

• Step 3: Calculate percentage change using the formula, (R2 - R1/R1)
  `*` 100

= (32 - 16/16)
`*` 100 = 100%