The area of a trapezoid is half the sum of its two parallel bases multiplied by the height: A=21(b1+b2)h.
Two identical trapezoids fit together to form a parallelogram. The trapezoid is half of that parallelogram.
Showing a random 20 of 50 problems.
Example 1
medium
A trapezoid has vertices (0,0), (10,0), (7,5), (2,5). Find its area.
Example 2
medium
A trapezoid has area 60, height 5, and one base 8. Find the other base.Area = 60, base b₁=8, height h=5 — find b₂
Example 3
easy
A trapezoid has area 40, bases 4 and 6, and height h. Find h.Area = 40; bases 4 and 6 — find the height h
Example 4
easy
A trapezoid has bases 5 and 9. What is the average base length?
Example 5
medium
A trapezoid has parallel sides 13 and 21. Find its midsegment.
Example 6
medium
A trapezoidal field has parallel sides 30 m and 50 m and a distance of 20 m between them. Find its area.Trapezoidal field: find the area
Example 7
hard
A trapezoid has bases in ratio 1:3 and height 8, with area 80. Find both bases.Bases in ratio 1:3, height 8, area 80 — verify bases 5 and 15
Example 8
medium
A trapezoid is split by a diagonal into two triangles. The bases are 6 and 10, height 4. Find each triangle's area.
Example 9
medium
A trapezoidal deck has bases 12 ft and 20 ft and height 9 ft. Find its area.Trapezoidal deck: bases 12 ft and 20 ft, height 9 ft — find the area
Example 10
challenge
Show that a triangle is a special case of the trapezoid area formula.
Example 11
easy
Find the area of a trapezoid with parallel sides 6 and 10 and height 4.Find the area: bases 6 and 10, height 4
Example 12
easy
In a trapezoid, which two sides are called bases?
Example 13
medium
A trapezoid has midsegment 15 and height 8. Find its area.
Example 14
medium
Find the midsegment length of a trapezoid with parallel sides 14 and 22.
Example 15
challenge
A trapezoid has diagonals 10 and 24 that meet at right angles. Find its area.
Example 16
easy
A trapezoid has bases 7 and 11 and height 10. Find its area.Find the area: bases 7 and 11, height 10
Example 17
challenge
A trapezoid has bases in ratio 2:3 and area 75 with height 6. Find both bases.Bases in ratio 2:3; height 6; area 75 — verify bases 10 and 15
Example 18
easy
A trapezoid has area 54 and bases 7 and 11. Find the height.Area = 54; bases 7 and 11 — find the height
Example 19
medium
A trapezoid's midsegment is 9 and height is 7. Find its area.
Example 20
hard
A trapezoid is split into a rectangle and two triangles. Bases are 8 (top) and 14 (bottom), height 6, and the trapezoid is isosceles. Show the rectangle has area 48.Isosceles trapezoid: bases 8 and 14, height 6 — show the embedded rectangle has area 48