+91-87964 74404
FlagBACK
Question icon
Grade 8Algebra

ABCD is a trapezium with ab parallel to CD and the diagonals intersect at a point P the area of triangle ABP is 32 CM square and the area of triangle sea DP is 50 cm square the area of trapezium is

Profile image of Rohit
6 Years agoGrade 8
Answers icon

1 Answer

Profile image of Arun
6 Years ago
The area of Trapezium = 1/2(AB+CD).H 
Let AB = 4x & CD = 5x (since you already found that sides are in 4:5) 
Let the heights be h1 & h2 respectively. 
Then H = h1 + h2 
Area = 1/2 * (4x+5x)(h1+h2) 
= 1/2 * 9x * h1 + 1/2 * 9x * h2 
1/2 * 4x*h1 = 32 
1/2 * 9x*h1 = 32 * 9/4 = 72 
1/2 * 5x * h2 = 50 
1/2 * 9x * h2 = 50 * 9/5 = 90 
Area = 72 + 90 = 162
 

Other Related Questions on algebra

question mark
What is a binomial expression?
algebra
1 Answer Available

Last Activity: 2 Years ago

question mark
Can we divide two vectors? If this is possible then how?
algebra
1 Answer Available

Last Activity: 2 Years ago

question mark
How do you write “the product of 18 and q” as an algebraic expression?
algebra
1 Answer Available

Last Activity: 2 Years ago

question mark
दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे
algebra
1 Answer Available

Last Activity: 3 Years ago

question mark
Find the least number of square tiles by which the floor of a room of dimensions 16.58 m and 8.32 m can be covered completely. why HCF and not LCM as “least” keywor dis given?
algebra
1 Answer Available

Last Activity: 3 Years ago