Question

A rectangular cardboard has dimensions as shown. The length of the cardboard can be found by dividing its area by its width. What is the length of the cardboard in inches?

5 and 1 over 12
6 and 2 over 3
18 and 5 over 12
56 and 1 over 3

Answer 1

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Formula
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Area = Length x Width

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Given Information
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$\text {Area = }21 \dfrac{2}{3} \ in^2$
$\text {Width =} 3 \dfrac{1}{4} \ in$

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Find Length
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$21 \dfrac{2}{3} \ in^2 =\text { Length }\times 3 \dfrac{1}{4} \\ \\ \text {Length} = 21 \dfrac{2}{3} \ in^2 \div 3 \dfrac{1}{4} \\ \\ \text {Length}= \dfrac{65}{3} \div \dfrac{13}{4} \ \ \Longleftarrow \text {Change to improper fraction} \\ \\ \text {Length}= \dfrac{65}{3} \times \dfrac{4}{13} \ \ \Longleftarrow \text {Change the divide to times} \\ \\ \text {Length}= \dfrac{20}{3} \\ \\ \text {Length}= 6\dfrac{2}{3} \ in$

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Answer: $6 \dfrac{2}{3}$ (Answer B)
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