Question

Figure is not drawn to scale. If x = 7 units and h = 4 units, then what is the area of the triangle shown above? A. 14 square units B. 28 square units C. 42 square units D. 8 square units

Answer 1

Answer : -

Given that,

x = 7 units

h = 4 units

Let x be represented as base of the triangle and h represents the height of the triangle.

As we know,

Area of triangle = $\frac{1}{2} \times base \times height$

Area of triangle = $\frac{1}{2} \times x \times h$

Area of triangle = $\frac{1}{2} \times 7\:units \times 4\:units$

Area of triangle = $\frac{1}{2} \times 28$

Area of triangle = $\frac{1}{\cancel{2}} \times \cancel{28}$

Area of triangle = 14 square units

$\huge{ \boxed{ \pink{area = 14 \: {units}^{2}}}}$

Therefore, option (a) is correct.