If a 4 x 16 rectangle has the same area as a square, what is the length of a side of the square?
ОА. 12
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Ос. 6
OD. 8
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Answer:

Option D. 8 units

Step-by-step explanation:

step 1

Find the area of rectangle

The area of rectangle is

[tex]A=(4)(16)=64\ units^2[/tex]

step 2

Find the length side of the square with the same area of rectangle

The area of a square is

[tex]A=b^2[/tex]

where

b is the length side of the square

we have

[tex]A=64\ units^2[/tex]

substitute

[tex]64=b^2[/tex]

take the square root both sides

[tex]b=8\ units[/tex]

therefore

The length side of the square is 8 units