Question

the perimeter of two squares are32m and 50m find the perimeter of another square equal in area to the sum of the two squares​

Answer 1

Step-by-step explanation:

8² +12.5²/4

=64+62.5/4

=126.5 /4

=31.625

Answer 2

Answer:

The perimeter of another square = 59.36 m

Step-by-step explanation:

Given:

• The perimeter of two squares are 32 m and 50 m.

To find:

• The perimeter of another square equal in area to the sum of the two squares.

Solution:

♦ Perimeter of a square = 4 × a

Where,

a is the length of each side of a square.

♦ Area of a square = a²

Where,

a is the length of each side of a square.

In case of 1st square,

• Perimeter of a square = 32 m
• a = 32/4
• a = 8 m

• Area of a square = (8 m)²
• Area of a square = 64 m²

In case of 2nd square,

• Perimeter of a square = 50 m
• a = 50/4
• a = 12.5

• Area of a square = (12.5 m)²
• Area of a square = 156.25 m²

According to question,

• Area of new square = 64 + 156.25
• Area of new square = 220.25 m²

• Side of a new square = √220.25
• Side of a new square = 14.84 m

• Perimeter of a new square = 4 × 14.84
• Perimeter of a new square = 59.36 m

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