Question

If two similar polygons have perimeters of 36 and 21 inches.

Answer 1

Answer:

91

Step-by-step explanation:

Two similar polygons, means a similarity would exist in both polygons

• Perimeter of a rectangle = 2(l +w)
• Perimeter of the larger rectangle = 36 (because it's the largest figure)
• equation becomes  36 = 2(L + W)
• since L = 14, it becomes = 36 = 2(14 +W)
• 36 = 28 + 2W
• 2W = 36 - 28 = 2w = 8

• w = 4.

Now we assume that since the rectangles are similar, they would have similar dimensions, in this case Width. so with this, we find length  of smaller rectangle.

• 21 = 2(L + 4) = 21 = 2L + 8

• 2L = 21 - 8 = 2L = 13

• L = 13/2 = 6.5.

lastly the product of the length of both polygons = 14 * 6.5 = 91.

Their Products length is 91