If the top and bottom of the trapezoid are the same as the height, and the area of the trapezoid is 60 square meters, how many square centimeters is the area of the shadow part? The waist on the left is 45 degrees, the shadow on the right is a right angled trapezoid, and the left is a right angled triangle,

If the top and bottom of the trapezoid are the same as the height, and the area of the trapezoid is 60 square meters, how many square centimeters is the area of the shadow part? The waist on the left is 45 degrees, the shadow on the right is a right angled trapezoid, and the left is a right angled triangle,


This trapezoid can be made only if it is isosceles trapezoid, because if it is not isosceles trapezoid, the condition of 45 degree left bottom angle will be abandoned
First, on the basis of isosceles trapezoid
The left bottom angle is 45 degrees, and the right bottom angle is the same. Since the height is equal to the upper bottom, make a vertical line at the two vertices of the upper bottom, and you will find a square in the middle. The left and right isosceles right triangles are the same
Since the right side of an isosceles right triangle is equal to the side of the square, the area of the triangle is equal to half of the square
Affirmative, as like as two peas, the four right angles of triangle appear in the middle of the square.
Because the total area is 60, shadow accounts for three quarters, shadow area is 45 square meters



As shown in the figure, the area of the trapezoid is 360 square meters, the upper bottom is 15 meters, the lower bottom is 21 meters, and the area of the shadow part is () square meters?


Only from the topic, we can calculate the height of trapezoid, set as h, (15 + 21) H / 2 = 360, H = 20m



The area of a triangle is 33 / 4 square meters, and the length of its bottom is 6 meters. How many meters is the height of the bottom


Height = 2x area divided by bottom
=2x 33/4 ÷6
=11 / 4m