Question

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 1

Option D. 8 units

Explanation:

step 1

Find the area of rectangle

The area of rectangle is

`A=(4)(16)=64\ units^2`

step 2

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

The area of a square is

`A=b^2`

where

b is the length side of the square

we have

`A=64\ units^2`

substitute

`64=b^2`

take the square root both sides

`b=8\ units`

therefore

The length side of the square is 8 units