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The area of a square is equal to the area of a rectangle of I = 8 cm and b = 2 cm. What is the side of the square?
  • a)
    6 cm
  • b)
    4 cm
  • c)
    3 cm
  • d)
    8 cm
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The area of a square is equal to the area of a rectangle of I = 8 cm a...
Area of rectangle = l×b
l = 8cm,. b= 2 cm
Area of rectangle= ( 8×2)cm
= 16cm^2
Area of rectangle= Area of square
therefore area of the square is 16cm^2
Area of square= (a)^2
√16 = a
Side of the square 4cm
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Most Upvoted Answer
The area of a square is equal to the area of a rectangle of I = 8 cm a...
Given:
Area of a square = Area of a rectangle
Length of the rectangle (l) = 8 cm
Width of the rectangle (w) = 2 cm

To find:
Length of the side of the square

Solution:
The formula to calculate the area of a square is A = s^2, where A is the area and s is the length of a side.

To find the side of the square, we can set up the equation by equating the areas of the square and rectangle.

Area of the square = Area of the rectangle
s^2 = l x w
s^2 = 8 cm x 2 cm
s^2 = 16 cm^2

Taking the square root of both sides of the equation to solve for s:
s = √16 cm^2
s = 4 cm

Answer:
The side of the square is 4 cm. Therefore, option B is correct.
Community Answer
The area of a square is equal to the area of a rectangle of I = 8 cm a...
Area of rectangle = l×b
l = 8cm,. b= 2 cm
Area of rectangle= ( 8×2)cm
= 16cm^2
Area of rectangle= Area of square
therefore area of the square is 16cm^2
Area of square= (a)^2
√16 = a
Side of the square 4cm
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The area of a square is equal to the area of a rectangle of I = 8 cm and b = 2 cm. What is the side of the square?a)6 cmb)4 cmc)3 cmd)8 cmCorrect answer is option 'B'. Can you explain this answer?
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