316,143 views
34 votes
34 votes
the length of nicks garden is equal to its width. Nick is going to enlarge his garden by making each side 20% longer.How much will the area of the garden increase

User Keith Hanlan
by
2.9k points

1 Answer

21 votes
21 votes

Answer:

44%

Explanation:

Existing garden: L*W, where L and W are the length and width (We'll assume meters, but it can be any other linear measurement, such as miles, cm, or feet, etc.).

Area, A1 = L*W

New Area, A2 = (1.2L)*(1.2W)

A2 = (1.2)*(1.2)*(L*W)

Since L*W = A1, we can write A2 = 1.44*A1

New Area = 1.44 the original area, a 44% increase.

User Arturo Martinez
by
3.1k points