Calculate the area of □ABCD given in figure.

Question

Filo · Accepted Answer

Consider △BCDUsing the Pythagoras theoremWe can write it asDB2+BC2=DC2By substituting the values DB2+82=172By subtraction DB2=172−82DB2=289−64By subtractionDB2=225By taking the square rootDB=225​So we getDB=15cmWe can find Area of △BCD=21​×b×hBy substituting the values Area of △BCD=21​×8×15On further calculationArea of △BCD=60 cm2Consider △BAD Using the Pythagoras theoremWe can write it as DA2+AB2=DB2By substituting the values AB2+92=152By subtractionAB2=152−92AB2=225−81By subtractionAB2=144By taking the square root AB=144​So we getAB=12cmWe can findArea of △DAB=21​×b×hBy substituting the values Area of △DAB=21​×9×12 On further calculationArea of △DAB=54 cm2So we getArea of quadrilateral ABCD= area of △DAB+ area of △BCDBy substituting the values Area of quadrilateral ABCD=54+60By additionArea of quadrilateral ABCD=114 cm2Therefore, the area of quadrilateral ABCD is 114 cm2.

Question Text	Calculate the area of $□ A BC D$ given in figure.
Answer Type	Text solution:1
Upvotes	150

Calculate the area of $□ A BC D$ given in figure.

Text solutionVerified

Practice questions from similar books