Question

A rectangular lawn measuring 8 m by 4 m is surrounded by a flowerbed of uniform width. The combined area of the lawn and the flowerbed is 165 m². Determine the width of the flowerbed.

Answer 1

The width of the flowerbed is 5.54m

Step-by-step explanation:

To find the width of the flowerbed, we can calculate the difference between the combined area of the lawn and flowerbed and the area of just the lawn.

The area of the lawn can be found by multiplying the length and width: 8m x 4m

= 32m².

The combined area is given as 165m².

So, the area of the flowerbed is 165m² - 32m²

= 33m².

Since the flowerbed has a uniform width, we can divide the area by the length of the floral perimeter to find the width.

The floral perimeter is given by 2(length + width) = 2(8m + 4m)

= 2(12m)

24m.

Therefore, the width of the flowerbed is 133m² / 24m = 5.54m (rounded to two decimal places).