Question

Please help me

a piece of wire is 28cm in length is cut into two parts, each part bend to make a square. given that area of square is 416m^2. find the perimeter of each square.

Answer 1

• 25.488 cm and 2.512 cm

Explanation:

Note: the area of squares is 41 cm² but not 416 m², typo

Let the sides of squares be x and y

Based on given we have equations:

• 4x + 4y = 28
• x² + y² = 41

Simplify the first equation

• 4x + 4y = 28
• x + y = 7
• x = 7 - y

Substitute x to solve for y:

• (7 - y)² + y² = 41
• 49 - 14y + y² + y² = 41
• 2y² - 14y + 49 - 41 = 0
• 2y² - 14y + 8 = 0
• y² -7y + 4 =0

Solving we get:

• y= 6.372 cm or y= 0.628cm

Then

• x = 0.628 cm or x = 6.372 cm

Perimeter of each square is:

• 4*6.372 = 25.488 cm

and

• 4*0.628 = 2.512 cm