Question

A new field has a perimeter of 220 m and a width of 62 m. A bag of canola seed will cover 185 m2 of ground. How many bags of canola seed are needed to seed the new field?

52
16
53
17

Answer 1

17

Explanation:

Assuming the field is a rectangle, the perimeter is found through the equation:

`P = 2l + 2w`

Since we know the perimeter and width, we can substitute and solve for the length.

`(220) = 2l + 2(62)\\220 = 2l + 124\\96 = 2l\\l = 48\\`

Using the length and width, we can find the area.

`A = lw\\A = (48)(62)\\A = 2976`

The area is 2976 squared meters. We divide by the area a bag of canola seed can cover and round up if necessary to find the total number of bags.

`n = 2976 / 185\\n = 16.09`

Because we need a whole bag in order to cover for the decimal area, we round up to 17 bags.