Question

match the formulas for area to the correct shapes: area of a rectangle a = s·s area of a triangle a = l·w area of a square a = b·h ÷ 2 area of a parallelogram a = b·h

Explanation:

Step1: Recall Area Formulas

• Square: All sides equal (\(s\)), area \(A = s \cdot s\) (since length and width are both \(s\)).
• Rectangle: Length \(l\), width \(w\), area \(A = l \cdot w\).
• Triangle: Base \(b\), height \(h\), area \(A=\frac{b \cdot h}{2}\) (or \(b \cdot h \div 2\)).
• Parallelogram: Base \(b\), height \(h\), area \(A = b \cdot h\).

Step2: Match Each Formula

1. Area of a square: Matches \(A = s \cdot s\) (since square has side \(s\), area is side squared).
2. Area of a rectangle: Matches \(A = l \cdot w\) (length times width).
3. Area of a triangle: Matches \(A = b \cdot h \div 2\) (base times height divided by 2).
4. Area of a parallelogram: Matches \(A = b \cdot h\) (base times height).

Answer:

• Area of a square: \(A = s \cdot s\)
• Area of a rectangle: \(A = l \cdot w\)
• Area of a triangle: \(A = b \cdot h \div 2\)
• Area of a parallelogram: \(A = b \cdot h\)