The area of a square picture frame is 55 square inches. Find the length of one side of the frame. Explain to the nearest whole inch.

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Mathematics Verity 4 years 2021-09-02T00:34:25+00:00 2021-09-02T00:34:25+00:00 1 Answers 143 views 0

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diemkieu · Answer 1 · 2021-09-02T00:36:12+00:00

diemkieu

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2021-09-02T00:36:12+00:00 September 2, 2021 at 12:36 am

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Given:

The area of a square picture frame is 55 square inches.

To find:

The length of one side of the frame.

Solution:

Let the length of one side of the frame is x inches.

Area of square is

$Area=a^2$

where a is side length.

Area of frame is

$Area=x^2$

$55=x^2$

Taking square root on both sides.

$\sqrt{55}=x$

$x=7.4161985$

$x\approx 7$

$49<55<64$ , so $7<\sqrt{55}<8$ . Since 55 is closer to 49, therefore, $\sqrt{55}$ is closer to 7.

Therefore, the length of one side of the frame is 7 inches.