Question

the opposite veces Ull the diagonals are 6 cm and 14 cm respectively. Find the length
of the diagonal.
23. A trapezium with parallel sides of length as 7 : 3 is cut from a rectangle 30 dm by 4 dm so as to have an area
of one-third the latter. Find the lengths of the parallel sides. -
A parallelogram and a rhombus are equal in area. The diagonals of a rhombus are 48 m and 36 m respectively.​

Answer 1

Step-by-step explanation:

REF.Image.

In isosceles trapezium, AD = BC

Let DC = 3a cm

⇒ AB = a cm

As sum of opposite sides is equal,

⇒AD+BC=4a⇒2AD=4a⇒AD=2a

Now perimeter = 16 cm ⇒8a=16⇒a=2cm

In △ALD,AL

2

=AD

2

−DL

2

(Pythagoras th.)⇒AL

2

=16−4=12

⇒AL=

12

=2

3

cm

Now, Area of trapezium =

2

1

(Sum of parallel sides)Height

=

2

1

(4a)(2

3

)

=2a×2

3

=4×2

3

=8

3

cm

2

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