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a square and a rectangle have the same area. if the dimensions of the rectangle are 4 ft. by 16 ft., how long is a side of the square? answer options with 5 options a. 10 ft. b. 8 ft. c. 32 ft. d. 6 ft. e. 20 ft.

Verified Answer :

b
because the area of a rectangle is length times width. 
So 4x16=64
Now we know that a square's area is one of the sides multiplied by itself. 
So we could say its y/\2.
If we set these up to each other since the area of the rectangle is equal to the area of the square. it would look something like this.
64=y/\2 
If we take the square root of both side we would get y=8. 
So one side of the square, y, is a total length of 8.

Option B is correct. The length of the side of the square will be 8 ft.

What is the area?

The space filled by a flat form or the surface of an item is known as the area. The number of unit squares that cover the surface of a closed-form is the figure's area.

Area of square;

A= side²

Area of rectangle :

A=l×b

Area of square=Area of rectangle

side²=l×b

side=√(l×b)

side=√(4×16)

side=8 ft.

Hence, the length of the side of the square will be 8 ft.

To learn more about the area, refer to the link;

https://brainly.com/question/11952845

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