Question

Select the statements that hold true.

• A. Area of a rhombus whose diagonals are of lengths 12 cm and 15 cm = 90 square cm.
• B. Area of a rhombus whose diagonals are of lengths 12 cm and 15 cm = 80 square cm.
• C. Area of the rhombus having diagonals of length 10 cm and 20 cm = 100 square cm.
• D. Area of the rhombus having diagonals of length 10 cm and 20 cm = 200 square cm.

Answer 1

Answer: (A), (C)

The correct options are
A

Area of a rhombus whose diagonals are of lengths 12 cm and 15 cm = 90 square cm.

C

Area of the rhombus having diagonals of length 10 cm and 20 cm = 100 square cm.

(i)Area of the rhombus $=\frac{1}{2}(d_1\times d_2)$ where $d_1,d_2$ are lengths of diagonals.

$=\frac{1}{2}\times 12\times 15c{m}^2=90c{m}^2$ (When the diagonals are 12 cm and 15 cm. )

(ii) Area of the rhombus $=\frac{1}{2}(d_1\times d_2)$ where $d_1,d_2$ are lengths of diagonals.

$=\frac{1}{2}\times 10\times 20$ (When the diagonals are 10 cm and 20 cm.)
$=100c{m}^2$