Question
In the figure given below, ABCD is a parallelogram. P is a point in BC such that PR : PC = 1 : 2, DP produced meets AB produced at Q, If the area of the ΔBPQ is 20 Sq. units, what is the area of theΔDCP?
Found 6 tutors discussing this question
Discuss this question LIVE
14 mins ago
Text solutionVerified
(d):- We know that, ratio of the areas of two similar triangles is equal to the ratios of squares their corresponding sides. ∴Area(ΔBPQ)Area(ΔDPC)=PB2PC2 ⇒20Area(ΔDPC) =14 ⇒ Area(ΔDPC)=80 sq units
Was this solution helpful?
150
Share
Report
One destination to cover all your homework and assignment needs
Learn Practice Revision Succeed
Instant 1:1 help, 24x7
60, 000+ Expert tutors
Textbook solutions
Big idea maths, McGraw-Hill Education etc
Essay review
Get expert feedback on your essay
Schedule classes
High dosage tutoring from Dedicated 3 experts
Practice questions from similar books
Question 1
In ΔPQR, the line drawn from the vertex P intersects QR at a point S. If QR = 4.5 cm and SR = 1.5 cm then the ratios of the area of triangle PQS and triangle PSR isQuestion 2
Sides of a parallelogram are in the ratio 5 : 4. Its area is 1000 sq. units. Altitude on the greater side is 20 units. Altitude on the smaller side isQuestion 3
Direction: Each of the questions Mow consists of a questions followed by statements. You have to study the questions and the statements and decide which of the statement (s) is/are necessary to answer the question?(I) The length and breadth of the lawn are in the ratio of 2:1 respectively.(III) The cost of gravelling the path @ Rs. 50 per nr is Rs. 4416. Stuck on the question or explanation?
Connect with our math tutors online and get step by step solution of this question.
231 students are taking LIVE classes
Question Text | In the figure given below, ABCD is a parallelogram. P is a point in BC such that PR : PC = 1 : 2, DP produced meets AB produced at Q, If the area of the ΔBPQ is 20 Sq. units, what is the area of theΔDCP? |
Answer Type | Text solution:1 |
Upvotes | 150 |