Which of the following is a false statement?
(a) If the diagonals of a rhombus are 18 cm and 14 cm, then its area is 126 cm².
(b) Area of $a | | gm = \frac{1}{2} \times base \times corresp o nding height .$
(c) A parallelogram and a rectangle on the same base and between the same parallels are equal in area.
(d) If the area of a || gm with one side 24 cm and corresponding height h cm is 192 cm², then h = 8 cm.

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Solution

(b) $Area of a | | gm = \frac{1}{2} \times base \times corresponding height$

Area of a parallelogram = base × corresponding height

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Which of the following is a false statement?

(a) If the diagonals of a rhombus are 18 cm and 14 cm then its area is $126 c m^{2}$

(b) Area of a ||gm= $\frac{1}{2} \times b a s e \times c o r r e s p o n d i n g h e i g h t$ .

(d) If the area of a ||gm with one side 24 cm and corresponding height h cm is $192 c m^{2}$ then h=8 cm.

Q. A parallelogram and a rhombus are equal in area. The diagonals of the rhombus measure 120 m add 44 m. If one of the sides of the ∥gm is 66 m long, find its corresponding altitude.

Q. The areas of parallelogram and a rectangle are same. The rectangle measures

10 c m \times 8 c m

. If one side of the parallelogram is

16 c m

, Find the corresponding height..

Q. A rectangle and a parallelogram are on the same base and between the same parallels. If the area of the rectangle is

50 c m^{2}

, then what is the area of the parallelogram?

The area of a rhombus is equal to the area of a triangle. If base of A is 24 cm, its corresponding altitude is 16 cm and one of the diagonals of the rhombus is 19.2 cm. Find its other diagonal.

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(b) Area of a ||gm=12×base×corresponding height Area of a parallelogram = ​base ​× corresponding height

(b) $Area of a | | gm = \frac{1}{2} \times base \times corresponding height$

Area of a parallelogram = base × corresponding height