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1. The area of triangle with base 4cm and height 3cm is:
A. 12cm²
B. 6cm²
C. 7cm²
D. 14cm²

2. The area of rhombus whose diagonals are 12cm and 18cm is:
A. 108cm²
B. 216cm²
C. 80cm²
D. 160cm²

Answer :

To solve these questions, we need to use formulas for finding the area of a triangle and a rhombus.

  1. Area of a Triangle:
    The formula for the area of a triangle is:
    [tex]\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}[/tex]
    Given:

    • Base = 4 cm
    • Height = 3 cm

    Plugging in the values, we get:
    [tex]\text{Area} = \frac{1}{2} \times 4 \times 3 = 6 \text{ cm}^2[/tex]

    Therefore, the correct answer is B. 6cm².

  2. Area of a Rhombus:
    The formula for the area of a rhombus, when the lengths of the diagonals are known, is:
    [tex]\text{Area} = \frac{1}{2} \times \text{Diagonal}_1 \times \text{Diagonal}_2[/tex]
    Given:

    • Diagonal 1 = 12 cm
    • Diagonal 2 = 18 cm

    Plugging in the values, we get:
    [tex]\text{Area} = \frac{1}{2} \times 12 \times 18 = 108 \text{ cm}^2[/tex]

    Therefore, the correct answer is A. 108cm².

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