Question

i) The diagonals of the rhombus are 7.5 cm and 12 cm. Find its area
(i) 90 sq.cm
(ii) 900 sq.cm
(iii) 45 sq.cm
(iv) 450sq.cm​

Answer 1

Answer:

45 sq.cm

Step-by-step explanation:

Area of rhombus = Product of diagonals ÷ 2

Area = 12 x 7.5 ÷ 2

Area = 90 ÷ 2

Area of rhombus is 45sq.cm

Answer 2

Answer:

Given :-

• The diagonal of the rhombus are 7.5 cm and 12 cm.

To Find :-

• What is the area of the rhombus.

Solution :-

$\sf\boxed{\bold{\pink{Area\: Of\: Rhombus =\: \dfrac{d_1 \times d_2}{2}}}}$

where,

• d₁ = One diagonal
• d₂ = Other diagonal

Solution :-

Given :

• d₁ = 7.5 cm
• d₂ = 12 cm

According to the question by using the formula we get,

↦ $\sf Area\: of\: Rhombus =\: \dfrac{75 \times 12}{10 \times 2}$

↦ $\sf Area\: of\: Rhombus =\: \dfrac{90\cancel{0}}{2\cancel{0}}$

↦ $\sf Area\: of\: Rhombus =\: \dfrac{\cancel{90}}{\cancel{2}}$

➠ $\sf\bold{\red{Area\: of\: Rhombus =\: 45\: {cm}^{2}}}$

$\therefore$ The area of the rhombus is 45 cm².

Hence, the correct options is option no (iii) 45 sq.cm.