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A trapezoid has an upper bottom of 5 cm, a lower bottom of 8.2 cm and a height of 4.5 cm. If the largest triangle is cut out of the trapezoid, how many square centimeters is the remaining area?
To cut the largest triangle, the bottom of the trapezoid must be the bottom of the triangle, and the height of the trapezoid must be the height of the triangle, so the area of the triangle: 8.2 × 4.5 △ 2 = 18.45 (square centimeter), the area of the trapezoid: (5 + 8.2) × 4.5 △ 2 = 29.7 (square centimeter), and the remaining area: 29.7-18.45 = 11.25 (square centimeter). Answer: the remaining area is 11.25 square centimeter
A trapezoid has an upper base of 4cm, a lower base of 6.2cm and a height of 5cm. What is the area left after subtracting the largest triangle from the trapezoid?
Trapezoid area (4 + 6.2) X5 △ 2 = 10.2x2.5 = 25.5cm2
The remaining area is 25.5-6.2x5 △ 2 = 25.5-15.5 = 10 square centimeters
In the rectangle on the right, the area of the triangle is 35 square centimeters smaller than that of the trapezoid. How long is the top and bottom of the trapezoid?
As shown in the figure, if the height is made from the left end to the bottom of the trapezoid, the area of the two triangles on the left side of the height is equal. Therefore, the difference between the area of the trapezoid and that of the upper left triangle is equal to the area of the rectangle on the right side. Therefore, the upper bottom of the trapezoid = 35 △ 7 = 5 (CM). Answer: the upper bottom of the trapezoid is 5 cm long
In the rectangle on the right, the area of the triangle is 35 square centimeters smaller than that of the trapezoid. How long is the top and bottom of the trapezoid?
As shown in the figure, if the height is made from the left end to the bottom of the trapezoid, the area of the two triangles on the left side of the height is equal. Therefore, the difference between the area of the trapezoid and that of the upper left triangle is equal to the area of the rectangle on the right side. Therefore, the upper bottom of the trapezoid = 35 △ 7 = 5 (CM). Answer: the upper bottom of the trapezoid is 5 cm long
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- 16. It is known that ad of trapezoid ABCD is 5cm, BC is 8cm, BC side length is a little e, AE is 4cm, De is 3cm Find the area of triangle Abe, Dec shadow
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- 19. As shown in the figure, the area of trapezoid ABCD is 45 square centimeter, the area of bottom AB is 10 centimeter, the area of triangle doc is 5 square centimeter
- 20. As shown in the figure, in the trapezoidal ABCD, AB is parallel to DC, AC and BD intersect at O. if the area of triangle ODC is 1:4 than that of triangle AOB, calculate the area of triangle ODC Ratio of area to area of triangle AOD