It is known that the bottom of a right angled trapezoid is 30 cm and its height is 12 cm. Divide it into a rectangle and a triangle. The area of the triangle is 72 square cm. What is the area of the trapezoid?

It is known that the bottom of a right angled trapezoid is 30 cm and its height is 12 cm. Divide it into a rectangle and a triangle. The area of the triangle is 72 square cm. What is the area of the trapezoid?


The top and bottom of trapezoid are: 30-72 × 2 △ 12 = 30-12, = 18 (CM), the area of trapezoid is: (30 + 18) × 12 △ 2 = 48 × 12 △ 2, = 288 (square cm), a: the area of trapezoid is 288 square cm



Divide a trapezoid into two triangles. The area of the two triangles is 1:3. You design the top and bottom of the trapezoid to be () cm. The area of the right side of a cuboid is larger than that of the bottom. You design the length, width and height of the cuboid to be () cm


The area ratio of the triangle is 1:3. Because the height is equal, the ratio of the length of the bottom (that is, the top and bottom) is also 1:3. You design the top and bottom of the trapezoid to be (1 cm and 3 cm) cm respectively. The area of the right side of a cuboid is larger than that of the bottom. You design the length, width and height of the cuboid to be () cm respectively



The bottom of a trapezoid is 17.5 cm, the height is 5 cm, and the two bottom angles are 45 degrees


45 + 45 = 90 degrees (right angle)
You can make a rectangle and subtract a square
17.5 times 5 minus 5 times 5 = 62.5 square centimeters
Answer: Yes .