A field is in the shape of a trapezium whose parallel sides are 25m and 10m, the non parallel sides are 14m and 13m find the area of the field
Attachments:
Answers
Answered by
11
construction : draw a line parallel to any non- parallel side
let take trapezium ABCD
in which AB= 14 BC= 25 CD=13 AD =10
draw line parallel to AB to DE on side BC
now come on question
we got one parallelogram and one triangle
now find area of triangle of DEC
s= (14+15+13)/2 =21
area = root ( 21×7×6×8)
area =7×3×2×2
area = 84cm^2
now make its one base as EC
area = 1/2×EC×h
area=1/2×15×h
84=1/2×15×h
h=84×2/15
h=11.2cm
area of trapezium =1/2×sum of || sides ×height
area =1/2×35×112/10
area =196cm^2
let take trapezium ABCD
in which AB= 14 BC= 25 CD=13 AD =10
draw line parallel to AB to DE on side BC
now come on question
we got one parallelogram and one triangle
now find area of triangle of DEC
s= (14+15+13)/2 =21
area = root ( 21×7×6×8)
area =7×3×2×2
area = 84cm^2
now make its one base as EC
area = 1/2×EC×h
area=1/2×15×h
84=1/2×15×h
h=84×2/15
h=11.2cm
area of trapezium =1/2×sum of || sides ×height
area =1/2×35×112/10
area =196cm^2
Similar questions