Question

A hole the size of a photograph is cut from a red piece of paper to use in a picture frame.

On a coordinate plane, 2 squares are shown. The photograph has points (negative 3, negative 2), (negative 2, 2), (2, 1), and (1, negative 3). The red paper has points (negative 4, 4), (4, 4), (4, negative 4), and (negative 4, negative 4).

What is the area of the piece of red paper after the hole for the photograph has been cut?

17 square units
25 square units
39 square units
D47 square unitsthis is the ansswer

Answer 1

Its D

Explanation:

Just took the quiz

Answer 2

D. 47 square units

Explanation:

The area of the piece of red paper after the hole for the photograph has been cut is the difference between the area of large square and are of small square.

Area of large square:

The length of the side of large square is

`EF=|-4-4|=8\ units`

Area of large square
`=8^2=64\ un^2.`

Area of small square:

The length of the side of large square is

`AB=√((-3-(-2))^2+(-2-2)^2)=√((-1)^2+(-4)^2)=√(1+16)=√(17)\ units`

Area of small square
`=√(17)^2=17\ un^2.`

Difference:

`64 \ un^2-17\ un^2=47\ un^2`