Question

Square is of area 1024 cm. Keeping base length same, side lengths are adjusted to form a rectangle of area
512 cm2. Difference between their perimeters is​

Answer 1

Answer:

32 cm

Step-by-step explanation:

First, we need to find the length of one side of the square. To do this, we have to find the square root of 1024, since it's the opposite of squaring a number, which is what you do to find the area. The square root of 1024 is 32. This means that each side of the square is 32 cm. Now, we need to add up all the sides on the square to find the perimeter. 32 + 32 + 32 + 32 = 128.

Square perimeter: 128

Next, it says that the base length is the same as the square, so the base of the rectangle is 32. Now, we know that 32 times x equals 512. If we solve this, we find that the other length of the rectangle is 16cm. When we add up all the sides of the rectangle ( 32 + 16 + 32 + 16 ) we get 96.

Rectangle perimeter: 96

Square perimeter - rectangle perimeter = difference

128 - 96 = 32

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