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Elias completely covered a square canvas using 77.8 in.² of fabric without any overlap. Which measurement is closest to the side length of this canvas in inches? 8 in. 9 in. 19 in. 39 in. say the number and tell me why you got it.

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Answer:

9 in

Explanation:

Since the square canvas was completely covered using 77.8 in.² of fabric without any overlap, to get the side length of the canvas, we will use the formula for calculating the area of a square.

Area of a square = Length * Length

A = L*L

A = L²

Given the Area of the area of the square canvas as 77.8 in², on substituting this values into the formula to get L we have;

77.8 = L²

Take the square root of both sides

√77.8 = √L²

L = √77.8

L = 8.82 in

L ≈ 9inches

The length 8.82in gotten was approximated to 9in because the first value after the decimal point is greater that 4 and once we have such case 1 will be added to the value before the decimal point i.e 8 to make it 9.

Hence measurement that is closest to the side length of this canvas in inches is 9inches.

User Thomas Sparber
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