10th Class Mathematics Triangles Question Bank Case Based (MCQs) - Triangles

The sum of the area of each staircase is:

A) 6 square unit

B) 12 square unit

C) 10 square unit

D) None of these

Correct Answer: A

Solution :

Using the formula,

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

Sum of the area of each staircase

\[=\frac{1}{2}\times 1\times 2+\frac{1}{2}\times 2\times 1.6+\frac{1}{2}\times 2\times 1.6+\frac{1}{2}\times 2\times 1.8\]

\[=\frac{1}{2}\times (2+3.2+3.2+3.6)=\frac{1}{2}\times 12=6\]

square unit So, option [a] is correct.