The rectangle has two sides 2cm and 8cm a) Find the area of a square whose perimeter is equal

| April 27, 2021 | education

The rectangle has two sides 2cm and 8cm a) Find the area of a square whose perimeter is equal to the perimeter of this rectangle. b) Find the side of a square whose area is equal to the area of the given rectangle

First of all, we calculate the area of a rectangle with sides

2 cm and 8 cm by multiplying the length by the width of the rectangle:

S = 2 * 8 = 16 (cm²).

Find the perimeter of a rectangle with sides of 2 cm and 8 cm, equal to the doubled sum of its two sides:

P = 2 (2 + 8) = 2 * 10 = 20 (cm).

a) Find the side of the square, the perimeter of which is equal to the perimeter of the rectangle, that is, 20 cm:

20: 4 = 5 (cm).

Let’s find the area of a square with a side of 5 cm:

S = 5² = 25 (cm²).

b) The side of a square whose area is equal to the area of this rectangle, that is, 16 cm², will be equal to 4, since 4² = 16.



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