Question

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.

Answer 1

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.

$\sqrt{55}=x$

$x=7.4161985$

$x\approx 7$

$49$, so $7$. 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.