Question

b. \\(\frac{2}{7} \div \frac{6}{5}\\)

1. the description below represents the area of which polygon? (6.g.1)

\one - half the product of its height and the sum of the lengths of its bases\
f. rectangle
g. square
h. trapezoid
i. triangle

Explanation:

To determine which polygon's area is described by "one - half the product of its height and the sum of the lengths of its bases", we analyze the area formulas of each option:

• For a rectangle (Option F) and a square (Option G), the area formula is \(A = \text{length}\times\text{width}\) (or \(A = s\times s\) for a square), which does not match the given description.
• For a triangle (Option I), the area formula is \(A=\frac{1}{2}\times\text{base}\times\text{height}\), and it only involves one base, not the sum of two bases.
• For a trapezoid (Option H), the area formula is \(A=\frac{1}{2}(b_1 + b_2)h\), where \(b_1\) and \(b_2\) are the lengths of the two bases and \(h\) is the height. This formula matches the description "one - half the product of its height and the sum of the lengths of its bases".

Answer:

H. trapezoid