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The height of a trapezoid is 10 cm. If the upper bottom is increased by 6 cm and the lower bottom is increased by 4 cm, it becomes a parallelogram. Calculate the area of the original trapezoid
(6 + 4) × 10 △ 2 = 50 square centimeters, which is the area of the trapezoid
According to the conditions you give, you can't find out the area of the original trapezoid. As long as the upper bottom of the trapezoid is 2 cm less than the lower bottom, it meets your conditions, and there are countless trapezoids
A trapezoid, 3.6cm in height, 4cm in upper bottom and 7cm in lower bottom, minus the largest parallelogram, what is the remaining area?
(7-4)×3.6÷2
=3×1.8
=5.4 (square centimeter)
In the trapezoid below, cut off the largest parallelogram. What's the remaining area? The upper bottom is 4cm, and the lower bottom is 7cm and 6cm
The remaining area should be: (7-4) * 3.6/2 = 5.4 square centimeters
The lower part of a trapezoid is 2.5 times of the upper part. When the upper part is extended by 9 cm, the trapezoid becomes a parallelogram. The height of the trapezoid is 6cm, and the area of the trapezoid is calculated
Let the top and bottom be x cm
2.5X-X=9
1.5X=9
X=9/1.5
X=6
Bottom = 6 + 9 = 15 cm
Area = (6 + 15) * 6 * 1 / 2 = 63 square centimeter
In a trapezoid, the upper bottom is 23 times that of the lower bottom. If the upper bottom is extended by 4 cm, it becomes a parallelogram with an area of 108 square cm. The area of this parallelogram is larger than that of the original trapezoid______ Square centimeter
4 (1-23) = 4 (13) = 12 (CM) 108 (12) = 9 (CM) 4 × 9 (2) = 18 (square cm) a: the area of this parallelogram is 18 square cm larger than that of the original trapezoid. So the answer is: 18
For a trapezoid, if the upper bottom increases by 4cm and the lower bottom and height remain unchanged, it becomes a parallelogram, and the area increases by 10 square centimeters. If the upper bottom decreases by 3cm and the lower bottom and height remain unchanged, it becomes a triangle. How many square centimeters is the original trapezoid area? Why 3 + 4? The more detailed, the better
If the upper bottom is reduced by 3cm, the lower bottom and height remain unchanged, it will become a triangle, which means that the upper bottom is originally 3. If the upper bottom is increased by 4cm, the lower bottom and height remain unchanged, it will become a parallelogram, and the upper bottom and lower bottom of the parallelogram are equal, which means that the lower bottom is the original upper bottom + increase by 4. Therefore, 3 + 4 = 7, the increased triangle area is 10 flat
For a trapezoid, if the upper base is increased by 4cm, and the lower base and height remain unchanged, it becomes a parallelogram, with an area increased by 10cm, and if the upper base is decreased by 3cm
Meters, the bottom and height unchanged, it becomes a triangle, the original trapezoidal area is how many square centimeters?
25 square centimeters
The top and bottom are three centimeters
The bottom is seven centimeters
The height is five centimeters
The top bottom of a trapezoid is three times that of the bottom. If the bottom is extended by 6 cm, it becomes a parallelogram. What are the top and bottom of the trapezoid
Bottom = 6 △ 3-1 = 3cm
Top and bottom = 3 × 3 = 9cm
The bottom of a trapezoid is three times that of the top. If the top is extended by 6 cm, it becomes a parallelogram. How many cm are the top and bottom of the trapezoid
Top and bottom = 6 ÷ (3-1) = 3cm
Bottom = 3 × 3 = 9cm
The bottom of a trapezoid is three times that of the top. If the top is extended by 6 cm, it becomes a parallelogram. How many cm are the top and bottom of the trapezoid?
The bottom is 6cm more than the top
More bottoms than bottoms (3-1) = 2 times
The top and bottom are 6 / 2 = 3cm
The bottom is 3 + 6 = 9cm
RELATED INFORMATIONS
- 1. The top of a trapezoid is three times as big as the bottom. If the bottom is extended by 6 cm, it will become a parallelogram. How many cm are the top and bottom of the trapezoid?
- 2. The area of a parallelogram is 86 square meters, which is the same as the area of a triangle with the same base and height______ ．
- 3. The side length of square ABCD is 12, e is a point on BC and be = 5, the vertical bisector Mn of AE intersects CD at point m and ab at point n, and the length of Mn is calculated
- 4. Known: as shown in the figure, in square ABCD, points E.M and N are on the sides of AB, BC and ad respectively, CE = Mn, ∠ MCE = 35 degrees, find the degree of ∠ anm
- 5. The length of square ABCD is 4, M is the moving point on BC, n is the moving point on CD, am is perpendicular to Mn, BM =? ABCN has the largest area
- 6. As shown in the figure, the rectangle ABCD is folded along AE so that point d falls at point F on the edge of BC. If ∠ BAF = 60 °, then ∠ DAE=______ Degree
- 7. As shown in the figure, in diamond ABCD, point E is on BC, and AE = ad, ∠ ead = 2 ∠ BAE, find the degree of ∠ BAE
- 8. It is known that e is the middle point on the side BC of square ABCD, f is a point on CD, AE bisects ∠ BAF
- 9. Known: as shown in the figure, in square ABCD, e is the midpoint of BC, point F is on CD, angle FAE is equal to angle BAE, AF = BC + EC
- 10. The side length of a diamond is 5, and a diagonal line is 6. Now take the straight line where the two diagonal lines are as the coordinate axis to find the four vertices
- 11. As shown in the figure, a, B, C and D are the four vertices of rectangle ABCD, ab = 25cm and ad = 8cm. The moving points P and Q start from point a and C at the same time. Point P moves to point B at the speed of 3cm / s until point B, and point Q moves to point d at the speed of 2cm / S. (1) P and Q, from the start to the second, PQ ‖ ad? (2) Question: P, Q two points, from the start to a few seconds, quadrilateral pbcq area of 84 square centimeters?
- 12. As shown in the figure, in the known trapezoidal ABCD, ad ‖ BC, ∠ B = 30 °, C = 60 °, ad = 4, ab = 33, then the length of the bottom BC is______ ．
- 13. In the right angle trapezoid ABCD, AD / / BC, ∠ B = 90 °, ad = 24cm, BC = 26cm, the moving point P moves rapidly from a along the side of ad to D at the speed of 1cm per second In the right angle trapezoid ABCD, AD / / BC, ∠ B = 90 °, ad = 24cm, BC = 26cm, the moving point P starts from a and moves at the speed of 1cm / s along the ad side to D, the moving point Q starts from point C and moves at the speed of 3cm / s along the CB side to B, and P and Q start from points a and C at the same time. When one point reaches the end point, the other point also stops moving?
- 14. As shown in the figure, in the diamond ABCD, ab = 2, ∠ C = 60 °, the diamond ABCD rolls to the right on the straight line l without sliding. Each rotation of 60 ° around a vertex is called an operation. After 36 such operations, the total length of the path that the diamond center o passes through is (the result retains π)______ ．
- 15. The ratio of the top to the bottom of a trapezoid is 3:5. The top is 1 meter shorter than the bottom, and the bottom is 25% higher. The area of the trapezoid is ()
- 16. As shown in the figure, in rectangular ABCD, e is a point on CD, angle DEA = 30 degrees, and AE = AB = 8cm, find 1, degree of angle EBC, 2, area of triangle Abe
- 17. It is known that, as shown in the figure, P is a point in the square ABCD, and there is a point e outside the square ABCD, satisfying the angle Abe = angle CBP, be = BP 2.PB⊥BE.
- 18. As shown in the figure, in the square ABCD, ab = 1, point P is a point on the diagonal AC, and AP and PC are used as the diagonal to make the square respectively, then the sum of the perimeter of the two small squares is______ ．
- 19. In square ABCD, point E.F is on edge BC and CD respectively. If AE = 4, EF = 3 and AF = 5, what is the area of square ABCD
- 20. Let the vertex a of the square ABCD be the plane ABCD, PA = AB = a, and find the dihedral angle between the plane PAB and the plane PCD