Question

# A container has a square base. The area is 800$cm ^ { 2 } .$ The size of a book is 25 cm by 30 cm. Can the book lie flat on the base of the container?a. Find the side length of the container. b. Compare the side length with the dimensions of the book. c. Use the comparison to determine if the book will fit.

Solution

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Step 1
1 of 2
• a. Since the container has a square base, with area of 800 cm$^{2}$,

So, the side length of the container is:

$\sqrt{800} \approx 28.3 \text{ cm}$

• b. Compare the dimensions of the book with side length:

$25 \text{\textless} 28.3$

$30 \text{\textgreater} 28.3$

• c. Since one side of the book is greater than the side length of the container, so the book will not fit.

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