Question

A square serving platter has an area of 124 in. 2. Which is the best estimate of the side length of the platter?

A. 31 inches
B. 11.6
C. 11.8
D.11.1
(Please give an explanation.)

Answer 1

The correct answer is 11.1.

Explanation:

Given:

Area of square platter
`124in^(2)`.

If side length of square platter is
`x`.

Then,
`area=a^(2)`.

As per question,
`area=124inch^(2)`.

So,
`a^(2)=124`.

Taking square both the sides,
`\sqrt{a^(2) }=√(124)`=
`a=11.13`.

Since the decimal is given in the hundredth position, we can estimate the value to the nearest tenth of a decimal.

Here, the hundredth place has the digit 3.

As 3 is less than 5, we don't add any number to the neighboring digit 1.

So, 3 becomes 0 and the number 11.13 becomes 11.10 and hence 11.1.

Therefore, the correct answer is 11.1

.