Question

Angela decides to recycle a large oatmeal container by using it to hold a friends birthday gift. Then she wraps the container in gift paper.

Angela makes a net of the container out of the gift wrap paper. Which is the closest amount of paper she will use if she uses the least amount of paper to wrap the gift.

Answer 1

D. 135.37 in²

Explanation:

We have that the gift paper consists of two circles and a square.

Thus, we will need to find the area of the circles and the square.

Now, as the diameter of the circle = 4 inches

So, the radius of the circle =
`(4)/(2)` = 2 inches

Since, the area of a circle =
`\pi r^(2)`

This implies that area of the two circles =
`2* \pi r^(2)`

i.e. Area of the circles =
`2* \pi 2^(2)`

i.e. Area of the circles =
`8\pi`

i.e. Area of the two circles = 25.133 in²

Further, one side of the square = 10.5 inches

Thus, the area of the square =
`side^(2)`

i.e. Area of the square =
`10.5^(2)`

i.e. Area of the square = 110.25 in²

So, the overall area of the gift paper = 25.133 + 110.25 = 135.37 in².

Hence, the amount of paper used by Angela is 135.37 in².