Area of quadrilaterals

Learning Objectives Identify and classify different types of quadrilaterals (squares, rectangles, parallelograms, trapezoids). Understand the concept of area as the amount of surface covered by a two-dimensional shape. Calculate the area of squares using the formula $A = s^2$. Calculate the area of rectangles using the formula $A = l \times w$. Calculate the area of parallelograms using the formula $A = b \times h$. Calculate the area of trapezoids using the formula $A = \frac{1}{2} \times (b_1 + b_2) \times h$. Solve real-world problems involving the area of quadrilaterals, including choosing appropriate units. Ever wondered how much paint you'd need to cover a wall, or how much carpet to buy for your room? 🤔 This lesson will teach you how to figure that out! In th...

TermDefinitionExample QuadrilateralA polygon (a closed 2D shape) that has exactly four straight sides and four angles.Squares, rectangles, parallelograms, and trapezoids are all types of quadrilaterals. AreaThe amount of surface a two-dimensional shape covers, measured in square units (like square inches, square feet, or square meters).If a square has sides of 2 cm, its area is 4 square centimeters (4 cm²). BaseAny side of a polygon that is chosen to be the 'bottom' for the purpose of calculating its area. For parallelograms and trapezoids, it's usually one of the parallel sides.In a rectangle, the length can be considered the base. HeightThe perpendicular distance from the base to the opposite side or vertex. It must form a 90-degree angle with the base.In a parallelogram,...

Area of a Square $A = s^2$ To find the area of a square, multiply the length of one side (s) by itself. The 's' stands for side length. Area of a Rectangle $A = l \times w$ To find the area of a rectangle, multiply its length (l) by its width (w). Area of a Parallelogram $A = b \times h$ To find the area of a parallelogram, multiply the length of its base (b) by its perpendicular height (h). Remember, the height must be perpendicular to the base. Area of a Trapezoid $A = \frac{1}{2} \times (b_1 + b_2) \times h$ To find the area of a trapezoid, add the lengths of its two parallel bases ($b_1$ and $b_2$), multiply by the perpendicular height (h), and then divide by 2 (or multiply by $\frac{1}{2}$).