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Calculate the area of the squares having the following perimeters

224cm

User MoxieBall
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2 Answers

4 votes

Given- Perimeter of square=224cm

perimeter of square = 4*side

4*side=224 cm

side= 224/4=56 cm

side= 56 cm

therefore, area of square = side*side

56*56= 3136 cm²

User Yibo Yang
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6 votes

Answer:

3,136 square cm

Explanation:

What is the area?

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

To solve for the length of each side, we can use this equation:

  • 224 ÷ 4 = 56

How do we know that the side lengths are 56cm?

We know this because squares have the same length (4 equal sides). If we also know that the perimeter is the total length around the shape, we can take the total perimeter (224) and divide that by 4 to get the length of each side.

To calculate the area of a square, we can use this equation:

  • length × length = area

Inserting 56 in for the length:

  • 56 × 56 = 3136

Therefore, the area of a shape that has a perimeter of 224cm is 3,136 square cm.

User Rea Haas
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7.9k points