The parallel sides of a trapezoid measure 10 cm and 16 cm, and the perpendicular height between them is 8 cm. What is the area of the trapezoid?
Answer and explanation
Correct answer: C. 104 cm^2
- Step 1: Area formula of a trapezoid: Area = [ (a + b) / 2 ] h. Step 2. Substitute values: Area = [ (10 + 16) / 2 ] 8 = (26 / 2) 8 = 13 8 = 104 cm^2. Answer: 104 cm^2. Why not the others: 208 cm^2 forgets to divide by 2; 96 cm^2 uses 12 8; 128 cm^2 uses 16 8.
Practise more Geometry, Mensuration and Mental Ability.
Free questions with an explanation for every one, and full timed Bangladesh Civil Service Preliminary Examination mock tests.
More Geometry, Mensuration and Mental Ability questions
- Two angles are complementary, and their degree measures are in the ratio 2 : 3. What is the degree measure of the larger angle?
- An angle measures such that its supplementary angle is four times its complementary angle. What is the measure of this angle in degrees?
- The three interior angles of a triangle are in the ratio 3 : 4 : 5. What is the degree measure of the largest interior angle?
- What is the degree measure of each exterior angle of a regular octagon (an 8-sided regular polygon)?
- What is the sum of all interior angles of a convex hexagon (a 6-sided polygon)?
- A right-angled triangle has perpendicular legs measuring 9 cm and 12 cm. What is the length of its hypotenuse?