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What is the area of a triangle with a base of 8in and a height of 4in?(1 point) Responses 32 sq. in. 32 sq. in. 12 sq. in. 12 sq. in. 16 sq. in. 16 sq. in. 24 sq. in. 24 sq. in. Question 2 What is the area of a rectangle with a length of 10m and a width of 5 meters?(1 point) Responses 15 sq. m. 15 sq. m. 25 sq. m. 25 sq. m. 50 sq. m. 50 sq. m. 105 sq. m.

1 answer

To find the area of the triangle and the rectangle, we can use the following formulas:

Area of a triangle: \[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]

For the given triangle:

  • Base = 8 in
  • Height = 4 in

Calculating the area: \[ \text{Area} = \frac{1}{2} \times 8 , \text{in} \times 4 , \text{in} = \frac{1}{2} \times 32 , \text{sq. in} = 16 , \text{sq. in} \]

So, the area of the triangle is 16 sq. in..

Area of a rectangle: \[ \text{Area} = \text{length} \times \text{width} \]

For the given rectangle:

  • Length = 10 m
  • Width = 5 m

Calculating the area: \[ \text{Area} = 10 , \text{m} \times 5 , \text{m} = 50 , \text{sq. m} \]

So, the area of the rectangle is 50 sq. m..

Responses:

  1. Triangle area: 16 sq. in.
  2. Rectangle area: 50 sq. m.