Find the perimeter and area of quadrilateral in which AB=42cm , BC=21cm , CD=29 , DA=34cm , angle CBD = 90°
Answers
Step-by-step explanation:
Step-by-step explanation:
given :
AB = 42 cm
BC = 21 cm
CD = 29 cm
DA = 34 cm
angle CBD = 90 degrees
To find : perimeter and area
perimeter of a quadrilateral = AB + BC + CD + DA
= 42 + 21 + 29 + 34
= 126 cm
area of quadrilateral = area of triangle ABD + area of triangle CBD
area of triangle ABD = AB + BD + AD = 180 { angle sum property }
= 42 + x + 34 = 180
= 76 + x = 180
x = 180 - 76
x = 104 cm²
area of triangle CBD = CB + BD + DC = 180 { angle sum property }
= 21 + y + 29 = 180
= 21 + 29 + y = 180
y = 50 - 180
y = 130 cm²
area of quadrilateral = 104 + 130 = 234 cm²