Question

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

Answer 1

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

Answer 2

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}`