Question

The perimeters of a parallelogram and a rectangle are equal. The dimensions of the length of the sides of the parallelogram if the parallelogram are 3y+ 1 and 2y - 21 Find the perimeter of the rectangle is 70 cm.​

Answer 1

Explanation:

The perimeter of a parallelogram is the sum of all its sides, so it is equal to 2(3y + 1) + 2(2y - 21) = 10y - 38.

The perimeter of the rectangle is 70 cm, so we can set this equal to the perimeter of the parallelogram to get the equation:

10y - 38 = 70

Solving for y, we get:

y = 14

The perimeter of the rectangle is equal to 2(length + width), so we need to find the length and width of the rectangle.

The length of the rectangle is 3y + 1 = 3(14) + 1 = 43 cm.

The width of the rectangle is 2y - 21 = 2(14) - 21 = 11 cm.

Therefore, the perimeter of the rectangle is 2(43 + 11) = 106 cm.

So the answer is 106