A rectangular plot of land is to be seeded with grass. If the plot measures 25 m by 31 m and a 1 kg bag of seed is needed for [tex]84 \, \text{m}^2[/tex] of land, how many bags of seed are needed?

A rectangular plot of land with an area of 775 m² requires approximately 10 bags of seed, given that each 1 kg bag covers 84 m² of land. The area was calculated with 25 meters length and 31 meters width. The result was rounded up to ensure full coverage.

To solve this, let's start by calculating the area of the rectangular plot:

Length of the plot = 25 meters
Width of the plot = 31 meters

The area of a rectangle is given by the formula:

Area = Length * Width

Substitute the given values:

Area = 25 m * 31 m = 775 m²

Next, we determine how many bags of seed are needed for 775 m². We know that 1 kg bag of seed covers 84 m²:

Number of bags = Total Area / Area Covered by One Bag

Number of bags = 775 m² / 84 m² per bag ≈ 9.226

Since we cannot purchase a fraction of a bag, we round up to the next whole number:

Number of bags needed = 10 bags