the length of a rectangular garden is 9 feet longer than its width.If the garden's perimeter is 194 feet,what is the area of the garden in square feet?

Question

the length of a rectangular garden is 9 feet longer than its width.If the garden's perimeter is 194 feet,what is the area of the garden in square feet?

Answer 1

The sides of the garden are x and x + 9

The perimeter of a rectangle is 2x + 2y (where x is the width and y is the length)

So your equation is:

2x + 2(x+9) = 194

 

Distribute the 2s:

 

2x + 2x + 18 = 194

 

Simplify:

 

4x + 18 = 194

 

Combine like terms:

 

4x = 176

 

Solve for x:

 

x = 44

 

So the sides are 44 and 53

 

Area = xy so multiply to get your answer.