Answer:
7: 3 inches
8: 10 inches
9: 14 feet
Explanation:
7: The area of a trapezoid is given by the formula:
Area = (1/2) x (sum of bases) x height
In this case, we know that the area is 13.5 square inches and the bases are 3 inches and 6 inches. Let h be the height of the trapezoid. Then the equation for the area becomes:
13.5 = (1/2) x (3 + 6) x h
Simplifying, we get:
13.5 = 4.5h
Dividing both sides by 4.5, we get:
h = 3
Therefore, the height of the trapezoid is 3 inches.
8:
The area of a trapezoid is given by the formula:
Area = (1/2) x (sum of bases) x height
In this case, we know that the area is 95 square meters and the bases are 7 meters and 12 meters. Let h be the height of the trapezoid. Then the equation for the area becomes:
95 = (1/2) x (7 + 12) x h
Simplifying, we get:
95 = 9.5h
Dividing both sides by 9.5, we get:
h = 10
Therefore, the height of the trapezoid is 10 meters.
9:
Area = (1/2) x (sum of bases) x height
In this case, we know that the area is 329 square feet and the bases are 30 feet and 17 feet. Let h be the height of the trapezoid. Then the equation for the area becomes:
329 = (1/2) x (30 + 17) x h
Simplifying, we get:
329 = 23.5h
Dividing both sides by 23.5, we get:
h = 14
Therefore, the height of the trapezoid is 14 feet.
Hope this helps