'; (a)
Area of the triangle
= ¹₂ x 12 x 5
= 30 cm²

(b)
Area of 2 triangles = Area of 1 rectangle (12 cm x 5 cm)

Method 1
Number of breadths that can be cut along the rectangle breadthwise
= 50 ÷ 5
= 10

Number of lengths that can be cut along the rectangle lengthwise
= 80 ÷ 12
= 6²₃
≈ 6

Number of triangles that Bruce can cut for Method 1
= 10 x 6 x 2
= 120

Method 2
Number of breaths that can be cut along the rectangle lengthwise
= 80 ÷ 5
= 16

Number of lengths that can be cut along the rectangle breadthwise
= 50 ÷ 12
= 4¹₆
≈ 4

Number of triangles that Bruce can cut for Method 2
= 16 x 4 x 2
= 128

Bruce can use Method 2 to cut the most triangles.

Answer(s): (a) 30 cm²; (b) 128