Question

4 Which expressions represent the area of the triangle in square feet? Select all that apply. A. 48.9 B 16 +8719 D 16119 318319 E 16)(9) 1889)

Answer 1

Options B, C and D are correct.

Area = ½ × 14 × 9 = (14)(9) ÷ 2

Area = ½ (6 + 8) (9)

= ½ (6)(9) + ½ (8)(9)

= 63 ft²

Step-by-step explanation

We are asked to pick out the options that give the area of the triangle.

To do that, we need to first note that the area of a triangle is given as

Area = ½ × Base × Height

For the triangle in the question

Base = 6 + 8 = 14 ft

Height = 9 ft.

So, the area of the triangle is

Area = ½ × Base × Height

Area = ½ × 14 × 9

We can then break this down for the two triangles in the one big triangle as

Area = ½ × 14 × 9 = (14)(9) ÷ 2

Area = ½ (6 + 8) (9)

= ½ (6)(9) + ½ (8)(9)

= 63 ft²

Hope this Helps!!!