122k views
3 votes
Tony and Edwin each built a rectangular garden. Tony's garden is 4 feet longer and 5 feet wider than Edwin's garden. If the perimeter of Edwin's garden is 36 feet, what is the perimeter of Tony's garden?

User DruidKuma
by
5.4k points

1 Answer

1 vote

Answer:

54 feet

Explanation:

Perimeter of a rectangle = 2 × (length + breadth)

The perimeter of Edwin's garden is 36 feet :

36 = 2 x (length + breadth)

divide both sides by 2 to determine the sum of the length and breadth of Edwin's garden

36/2 = (length + breadth)

18 = (length + breadth)

Tony's garden is 4 feet longer and 5 feet wider than Edwin's garden

The dimensions of Tony's garden is :

(4 + l) + (5 + w) = 9 + l + w

Where :

l = length

w = width

The sum of the length and breadth of Tony's garden would be 9 feet more than that of Edwin

Sum of Edwin's garden = 9 + 18 = 27

Perimeter of Edwin's garden = 27 feet x 2 = 54 feet

User Roxanne
by
5.2k points