Question

Perimeter of trapezium ABCD is 18 cm such that parallel sides are 4cm and 8cm and non- parallel sides are equal. Find the area of traperium abcd.

A) 615 cm
B) 35 m²
c) 8 √5 cm²
D) 7 √5 cm²


who will answer first I will mark him or her as brainliest.​

Answer 1

Step-by-step explanation:

so let equal sides be = x cm

parallal sides are = 4,8

perimeter = 18 cm

so non parallel sides

x+x+4+8 = 18 cm

2x = 18- 12

2x = 6

x= 3 cm

now

height can be found by using pythogoras theorem

but for that

we have to subtract non parallel sides from each other

8-4=4

now divide it by two as this will be two bases of two right triangles

4/2 =2

now consider non parallel side as hypotaneus

so height will be perpendicular side which can be found by

3^2 =2^2 +height ^2

9-4= height^2

5 = height ^2

height = _/5

now area of trapezium

= 0.5(sum of parallel sides)(height)

= 0.5( 12)(_/5)

= 6_/5 cm^2 answer

Answer 2

Answer:

Trapezoid

Solve for area

A=a+b

2h

a Base

4

cm

b Base

8

cm

h Height

Enter value

cm