Question

The area of the composite shape is $108sqin$. What is the height of the triangle?

• A. $9in$
• B. $6in$
• C. $8in$
• D. $10in$

Answer 1

The correct option is B $6in$


Length of the rectangular part $=12in$
Width of the rectangular part $=6in$
Area of the rectangular part $=\text{Length}\times \text{Width}=12\times 6=72sqin$

Now, base length of the triangular part $=$ Length of the rectangular part $=12in$
Let height of the triangular part $=h$
Area of the triangular part $=$ Area of the composite shape $-$ Area of the rectangular part

$\frac{1}{2}\times \text{base}\times \text{height}=108-72$
$\frac{1}{2}\times 12\times h=36$
$6\times h=36$
$h=6in$