Question

what is the area of the figure? 3 in 6 in 2 in 7 in the area of the figure is square in.

Explanation:

Step1: Split the figure

The figure can be split into a rectangle and a trapezoid. The rectangle has length \( 7 \) in and height \( 2 \) in. The trapezoid has bases \( 3 \) in and \( 7 \) in, and height \( 6 - 2 = 4 \) in.

Step2: Calculate area of rectangle

Area of rectangle: \( A_{rectangle} = length \times height = 7 \times 2 = 14 \) square inches.

Step3: Calculate area of trapezoid

Area of trapezoid: \( A_{trapezoid} = \frac{(a + b)}{2} \times h \), where \( a = 3 \), \( b = 7 \), \( h = 4 \). So \( A_{trapezoid} = \frac{(3 + 7)}{2} \times 4 = \frac{10}{2} \times 4 = 5 \times 4 = 20 \) square inches.

Step4: Total area

Total area = Area of rectangle + Area of trapezoid = \( 14 + 20 = 34 \) square inches.

Answer:

34