Question:
In a trapezium ABCD, AB is parallel to DC, BC is perpendicular to DC and \(∠BAD=45°\). If DC=5cm , BC=4 cm, the area of the trapezium in sq cm is ? [This Question was asked as TITA]
In a trapezium ABCD, AB is parallel to DC, BC is perpendicular to DC and \(∠BAD=45°\). If DC=5cm , BC=4 cm, the area of the trapezium in sq cm is ? [This Question was asked as TITA]
Updated On: Jul 8, 2024
\(25 \ cm^2\)
\(26 \ cm^2\)
\(28\ cm^2\)
\(30\ cm^2\)
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Dropping a perpendicular \(DE\) onto \(AB\), the figure is divided into two parts - a rectangle of dimensions \(4×5\) and an isosceles triangle \(AED\).
Required answer = \(\text{Area of rectangle} + \text{Area of triangle}\)
= \(4×5+\frac{1}{2}(4×4)=28\;cm^2\)
Was this answer helpful?
0
0
Top Questions on Mensuration
- Determine the ratio of the volume of a cube to that of the sphere which will exactly fit inside the cube.
- CBSE Class X - 2024
- Mathematics
- Mensuration
- Determine the ratio of the volume of a cube to that of the sphere which will exactly fit inside the cube.
- CBSE Class X - 2024
- Mathematics
- Mensuration
- A circular plot of land is divided into two regions by a chord of length $10\sqrt{3}$ meters such that the chord subtends an angle of $120^\circ$ at the center. Then, the area, in square meters, of the smaller region is
- CAT - 2024
- Quantitative Aptitude
- Mensuration
- ABCD is a trapezium in which AB is parallel to CD. The sides AD and BC when extended, intersect at point E. If AB = 2 cm, CD = 1 cm, and perimeter of ABCD is 6 cm, then the perimeter, in cm, of ∆AEB is
- CAT - 2024
- Quantitative Aptitude
- Mensuration
- The midpoints of sides AB, BC, and AC in ∆ABC are M, N, and P, respectively. The medians drawn from A, B, and C intersect the line segments MP, MN and NP at X, Y, and Z, respectively. If the area of ∆ABC is 1440 sq cm, then the area, in sq cm, of ∆XYZ is
- CAT - 2024
- Quantitative Aptitude
- Mensuration
View More Questions
Questions Asked in CAT exam
- The sum of all real values of $k$ for which $(\frac{1}{8})^k \times (\frac{1}{32768})^{\frac{4}{3}} = \frac{1}{8} \times (\frac{1}{32768})^{\frac{k}{3}}$ is
- CAT - 2024
- Logarithms
- Amal and Vimal together can complete a task in 150 days, while Vimal and Sunil together can complete the same task in 100 days. Amal starts working on the task and works for 75 days, then Vimal takes over and works for 135 days. Finally, Sunil takes over and completes the remaining task in 45 days. If Amal had started the task alone and worked on all days, Vimal had worked on every second day, and Sunil had worked on every third day, then the number of days required to complete the task would have been
- CAT - 2024
- Time and Work
- Gopi marks a price on a product in order to make 20% profit. Ravi gets 10% discount on this marked price, and thus saves Rs 15. Then, the profit, in rupees, made by Gopi by selling the product to Ravi, is
- CAT - 2024
- Profit and Loss
- Sam can complete a job in 20 days when working alone. Mohit is twice as fast as Sam and thrice as fast as Ayana in the same job. They undertake a job with an arrangement where Sam and Mohit work together on the first day, Sam and Ayana on the second day, Mohit and Ayana on the third day, and this three-day pattern is repeated till the work gets completed. Then, the fraction of total work done by Sam is
- CAT - 2024
- Time and Work
- The number of all positive integers up to 500 with non-repeating digits is
- CAT - 2024
- Number Systems
View More Questions