Question

Six times the perimeter of the rectangle is equal to four times the perimeter of the square. Find the length of the rectangle

Answer 1

Answer:

The length of the rectangle is - 29/13.

Step-by-step explanation:

Let the Perimeter of the rectangle be x

Perimeter of the square = 4×side = 4(2x-3) = 8x-12

By condition,

Six times the Perimeter of rectangle is equal to four times the Perimeter of the square.

Therefore, 6x = 4(8x-12)

Or, 6x = 32x-48

Or, 6x-32x = - 48

Or, - 26x = - 48

Or, 26x = 48

Or, x = 48/26 = 24/13

Length of the rectangle = 3x/2 - 5 = 3/2×24/13-5

= 36/13-5 = 36-65/13

= - 29/13(answer).

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