The bottom of a triangle is fixed, its height is proportional to its area, the perimeter of a rectangle is fixed, and its length is proportional to its width

The bottom of a triangle is fixed, its height is proportional to its area, the perimeter of a rectangle is fixed, and its length is proportional to its width


Because: 2 area / height = bottom (definite), so the bottom of triangle is definite, and the height is proportional to the area
Because 2 (length + width) = perimeter, the perimeter of a rectangle is certain, and its length is not proportional to its width



The circumference of a rectangle is 24cm, the ratio of length to width is 2:1, the length of the rectangle is () cm, the width is () cm, and the area of a triangle is 96cm


Let the length and width be 2k and K
Then: (2k + k) x2 = 24
K=4
So the length and width are 8cm, 4cm respectively,



The area of triangle is 979.8 square meters, the bottom is 56.8 meters


979.8×2÷56.8=1959.6÷56.8=34.5
Area: 34.5 × 56.8 = 1959.6
Perimeter: (34.5 + 56.8) × 2 = 91.3 × 2 = 182.6



The area of a rectangle is equal to that of a triangle. The rectangle is 12 decimeters long and 8 decimeters wide. The bottom of the triangle is 24 decimeters. How high is the corresponding height?


12 × 8 × 2 △ 24 = 8 (decimeter) = 0.8m