Question

Find the error in Bella’s reasoning and explain how she should have solved this problem .

Answer 1

Answer:

$Area =( 4 \times 3) + ( \frac{1}{4} \pi \times 2^2)$ $\ cm^2$

Step-by-step explanation:

The figure is a combination of rectangle and a quarter of a circle.

Therefore,

                    Area = Area of rectangle x Area of quarter of the circle

                             $= (Length \times breadth ) + ( \frac{1}{4} \pi r^2)\\\\=( 4 \times 3) + ( \frac{1}{4} \pi \times 2^2)$

Bella took the sum of area of rectangle and area of entire circle.

That is why Bella is wrong.