In a greenhouse, basil is grown in planters that have a base of 4 1 4 in by 1 2 3 in. If there is a 4 * 4 array of these planters with no space between them, what is the area covered by the planters?

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Mathematics

11 May, 19:49

In a greenhouse, basil is grown in planters that have a base of 4 1 4 in by 1 2 3 in. If there is a 4 * 4 array of these planters with no space between them, what is the area covered by the planters?

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Karter Dawson · Answer 1

The area covered by the planters is 113.6 square inches.

Step-by-step explanation:

Assuming that the dimmensions of the greenhouse are 4 1/4 by 1 2/3 inches. We first need to convert them from mixed fractions to normal fractions, we do that by summing the integer part to the fraction one. We have:

length = 4 + 1/4 = 16/4 + 1/4 = 17/4 inches

width = 1 + 2/3 = 3/3 + 2/3 = 5/3 inches

The area of the greenhouse is given by:

area = length*width

area = (17/4) * (5/3) = 85/12 = 7.1 square inches

Since there is an array of 4x4 there is a total of 16 greenhouses and it's total area is 16*7.1 = 113.6 square inches