Question

base, height, area
a. determine the base, height, and area of each shape
b. discuss: what patterns do you notice?
table with columns: shape, base (units), height (units), area (sq units); rows: i, j, k, l, m, n (partial values: i: base 5, height 2, area 5; j: base 5, height 2, area 10; k: base 5, height 2, area 10; l: base 4, height 5, area 10); grid with shapes (triangle, parallelograms) labeled i, j, k, m, n, etc.

Explanation:

Part a: Determine Base, Height, Area

Shape I (Triangle)

Step1: Recall triangle area formula

Area of triangle: $A = \frac{1}{2} \times \text{base} \times \text{height}$
Given base = 5, height = 2.

Step2: Calculate area

$A = \frac{1}{2} \times 5 \times 2 = 5$

Shape J (Parallelogram)

Step1: Recall parallelogram area formula

Area of parallelogram: $A = \text{base} \times \text{height}$
Given base = 5, height = 2.

Step2: Calculate area

$A = 5 \times 2 = 10$

Shape K (Parallelogram)

Step1: Recall parallelogram area formula

Area of parallelogram: $A = \text{base} \times \text{height}$
Given base = 5, height = 2.

Step2: Calculate area

$A = 5 \times 2 = 10$

Shape L (Triangle)

Answer:

(Part a Summary):

• I: Base=5, Height=2, Area=5
• J: Base=5, Height=2, Area=10
• K: Base=5, Height=2, Area=10
• L: Base=4, Height=5, Area=10
• M: Base=4, Height=2.5 (or 5, Area=20? Table shows 10, so Base=4, Height=2.5, Area=10)
• N: Base=5, Height=4, Area=20 (or consistent with K: Base=5, Height=4, Area=20)

(Note: Adjust based on grid precision. The key pattern is triangle area = ½×parallelogram area with same base/height.)