172k views
20 votes
A rectangular garden has an area of 60 squared feet. The garden is 4 feet longer than it is wide. Which equation can be used to determine the length and width of the garden?

User Nir Gavish
by
7.8k points

1 Answer

10 votes

Answer: See explanation

Explanation:

Let the width be x

Then, the length will be x+4

Area = Length × Width

Therefore,

x × (x+4) = 60

x² + 4x = 60

x² + 4x - 60 = 0

x² + 10x - 6x - 60 = 0

x(x + 10) - 6(x + 10) = 0

(x - 6)(x + 10) = 0

x - 6 = 0

x = 6

The width is 6feet

Length = 6+4 = 10 feet

User Steve Harris
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories