Question

10. The area of a square frame is 55 square inches. Find the length of one side of the

frame. Explain.
PART A
To the nearest whole inch
PART B
To the nearest tenth of an inch

Answer 1

see explanation

Explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length )

Given A = 55 , then

s² = 55 ( take the square root of both sides )

s =
`√(55)` ≈ 7 in ( to the nearest whole inch )

s ≈ 7.4 in ( to the nearest tenth of an inch )

Answer 2

Part A = 7 inches, Part B = 7.4 inches

Explanation:

To find one side of a square frame (k x k) you need to find the square root of 55, because this will give you a number that when multiplied by itself, will give you 55. Since it's a square frame the number is the same on the length and the width, so square root works perfectly. Use a calculator to find the square root of 55, the answer is 7.4161984871, in Part A it asks for the whole inch which is no decimals but only whole numbers, so the answer is 7. In Part B it asks to the nearest tenth of an inch, we don't have to round since the hundredth is only 0.01, and so the answer is 7.4.