Question

B. 4. In the adjoining figure, all measurements are in metres. Find the perimeter of the quadrilateral ABCD.
60 А
14 D
48 C​

Answer 1

Answer:

Given ∠BAD=90∘,∠BDC=90∘AB=6cmAD=8cmBC=26cm

In right angle  △ABD

BD=AB2+AD2=62+82=100=10cm

In right angle △BCD

CD=BC2−BD2=262+102=242=24cm

∴ Area of quadrilateral ABCD

=ar(△ABD)+ar(△BCD)

=21×6×8+21×10×24=3×8+5×24=24+120=144cm2