12.9k views
2 votes
A rectangular garden has a walkway around it. Find the area of the walkway.

A rectangular garden has a walkway around it. Find the area of the walkway.-example-1
User Algernon
by
3.4k points

2 Answers

4 votes

Final answer:

To calculate the area of the walkway, subtract the area of the garden from the total area including the walkway, using the formula ((L + 2x) * (W + 2x)) - (L * W), where L and W are the garden's length and width, and x is the walkway's width.

Step-by-step explanation:

To find the area of the walkway around a rectangular garden, you need to know the dimensions of both the garden and the walkway itself. Assume the garden has dimensions L (length) and W (width), and the walkway has a uniform width x surrounding the garden. The area of the garden is L * W, and the total area including the walkway would be (L + 2x) * (W + 2x).

The area of the walkway alone is calculated by subtracting the area of the garden from the total area: ((L + 2x) * (W + 2x)) - (L * W). This calculation will give you the area of the walkway in square units, depending on what units you measure L, W, and x in.

If the garden's dimensions are given, and the width of the walkway is known, you can apply these dimensions into the formula to find the specific area of the walkway.

User Rishi Agarwal
by
3.5k points
2 votes

Answer:

Below

Step-by-step explanation:

Easiest way: Get total area then subtract garden area

(8x+ 6.5)(21) - (6.5x+5)15 =

168x+136.5 - 97.5x -75

Area = 70.5x + 61.5

User Epelc
by
3.0k points