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What is the length of each side of a square that has the same area as a rectangle that is 5.4 mm long and 2.6 mm wide? Round to the nearest hundredth.

A. 3.75 mm
B. 3.87 mm
C. 4.01 mm
D. 4.32 mm

2 Answers

2 votes

Area of the rectangle = 5.4 x 2.6 = 14.04 mm²


Length of a square that has area 14.04 mm² = √14.04 = 3.75 mm


Answer: (A) 3.75 mm




User Nautilius
by
8.0k points
1 vote

Hey!


Area is equal to length × width. First find the area of the rectangle.



5.4 * 2.6 = 14.04


The area of the rectangle is 14.04 mm². That means the area of the square is also 14.04 mm². In a square, all 4 sides are the same. The length and width are the same.


Try all choices and see which is the closest



3.75 * 3.75 = 14.06


3.87 * 3.87 = 14.98


4.01 * 4.01 = 16.08


4.32 * 4.32 = 18.66


The 1st choice is the closest.



\framebox{Your answer is A}





User Atal Kishore
by
8.4k points

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