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The Metzgers want to seed theirbackyard. The seed they selectcovers 375 m² per box. Howmany boxes of seed will theyneed to buy? Use the yarddiagram. Round any portionof a box to the next box?

The Metzgers want to seed theirbackyard. The seed they selectcovers 375 m² per box-example-1
User Kyle Owens
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1 Answer

23 votes
23 votes
Seeding the backyard

In order to find how many boxed they need, first they need to know the area they will have to cover:

In order to find it, we have find the total area of the rectangle and take off the area of the House and the area of the shed:

We know that all those areas are rectangles, their area are found multiplying their sides lenght:

House area = 5m x 16m = 80m²

Shed area = 3m x 3m = 9m²

Since the lateral side of the total area is

5m + 16m + 5m = 26m, then

Total area = 26m x 50m = 1300m²

Then, the area they need to cover is

total area - house area - shed area = 1300m² - 9m² - 80m²

= 1211m²

Since the seed they select covers 375 m² per box, in order to find how many boxes they need, we just need to divide the area they are going to cover with this number:

1211m² ÷ 375 m² = 3.229

We round it to 4 boxes as indicated.

Answer: they need to buy 4 boxes of seeds

The Metzgers want to seed theirbackyard. The seed they selectcovers 375 m² per box-example-1
The Metzgers want to seed theirbackyard. The seed they selectcovers 375 m² per box-example-2
User Fransua
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2.7k points