Question

In the figure, ABCD is a parallelogram and
AED is a right-angled triangle. If the area of
AAED is 25 cm², and the lengths of AE and EB
are in the ratio 1 : 3, find the area of the
trapezium BCDE.
D
C С
A
B
E​

Answer 1

Answer:

where is figure...................

Answer 2

Step-by-step explanation:

Given ratio of AE : EB = 1 : 3

Let AE = x and DE = h

EB = 3x

Area of triangle AED = 25

so 1/2 × AE × DE =25

1/2 × x × h = 25

h = 50/x _____(1)

Area of trapezium BCDE = 1/2 × h (BE + AB)

= 1/2 × 50/x (3x+4x)

= 25/x (7x)

= 175 sq cm