Question

A garden is twice as long as it is wide. It is bordered on all sides by a path that is 1.5 meters wide. The total area of the path is 54 square meters. Find the dimensions of the garden.

Answer 1

Answer: The DIMENSIONS of the GARDEN ARE: 5 meters wide, and 10 meters long

• The DIMENSIONS of the GARDEN ARE:

Hence, DIMENSIONS of the GARDEN = Five (5) METERS WIDE and Ten (10) METERS LONG

• Explanation:

Make a plan:

Let the WIDTH of the garden is W Meters

Then, the length of the garden is 2W meters

Now, We will find the dimensions of the garden by setting up an equation for the area of the path.

• SOLVE THE PROBLEM:

(1) - Calculate the area of the garden and path together:

(W + 3) (2W + 3)

• (2) - Calculate the area of the garden:

W * 2W = 2W^2

• (3) - Calculate the area of the path:

(W + 3) (2W + 3) - 2W^2 = 54

• (4) - SOLVE THE EQUATION FOR W:

2W^2 + 3W + 6W + 9 - 2W^2 = 54

9W + 9 = 54

9W = 45

W = 5

• (5) - Calculate the length of the garden:

2W = 2 * 5 = 10

• The DIMENSIONS of the GARDEN ARE:

5 meters wide, and 10 meters long

• DRAW THE CONCLUSION:

The DIMENSIONS of the GARDEN ARE:

5 meters wide, and 10 meters long

Hence, DIMENSIONS of the GARDEN = Five (5) METERS WIDE and Ten (10) METERS LONG.

I hope this helps you!