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if the area of a square is 625cm^2, what is the perimeter? if the perimeter of a square is 96cm, what is it's area?

User Stevoman
by
5.0k points

1 Answer

7 votes

Answer

First part

Perimeter = 100 cm

Second part

Area = 576 cm²

Step-by-step explanation

To solve this, we need to know that the area and perimeter of a square of length L is given as

Area = L²

Perimeter = 4L

For the first part

Area = 625 cm²

L = ?

Area = L²

625 = L²

Take the square root of both sides

√625 = √L²

25 = L

L = 25 cm

Perimeter = 4L = 4 (25) = 100 cm

For the second part,

Perimeter = 96 cm

L = ?

Perimeter = 4L

96 = 4L

Divide both sides by 4

(96/4) = (4L/4)

24 = L

L = 24 cm

Area = L² = 24² = 576 cm²

Hope this Helps!!!

User Boxdog
by
5.3k points
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