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.

`√(55)=x`

`x=7.4161985`

`x\approx 7`

`49<55<64`, so
`7<√(55)<8`. Since 55 is closer to 49, therefore,
`√(55)` is closer to 7.

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