Question

If the numerical value of the area of a triangle is twice the sum of its base and height and its height is 6 cm, then the measure of its base is .

• A. 12 cm
• B. 10 cm
• C. 9 cm

Answer 1

The correct option is A 12 cm

$\text{Area of a triangle}=\frac{1}{2}\times base\times height$
Given,
$\text{Area}=2\times (base+height)$
Height = 6 cm

Therefore,
$\frac{1}{2}\times b\times h=2\times (b+h)$
$\Rightarrow \frac{1}{2}\times b\times 6=2\times (b+6)$
$\Rightarrow 6\times b=4\times b+24$
$\Rightarrow 2\times b=24$
$\Rightarrow b=12cm$