Question

In the square carpet below, find the area of the orange region.

• A. 2 cm²
• B. 4 cm²
• C. 6 cm²
• D. 8 cm²

Answer 1

The correct option is B

4 cm²

Now, we can clearly see that the area of the red part will be exactly equal to the orange part. Let us assume them as A.

Area of one yellow triangle = $(\frac{1}{2}\times 2\times 2)c{m}^2=2c{m}^2$

A (red part) + A (orange part) = Total square area - Area of 4 yellow triangles

$2\times A=(4\times 4)c{m}^2-(4\times 2)c{m}^{2}2\times A=8c{m}^2$

So, area of orange part, $A=\left(\frac{8}{2}\right)c{m}^2=4c{m}^2$