Question

please cam you show step by step working on how to do this, I'll follow and mark brainly. please fast​

Answer 1

Answer:

Option A

${217cm}^{2}$

Step-by-step explanation:

Here,

The figure can be dissolved into two parts that is

First one - Rectangle

Second one - Semi circle

Given,

Length of the rectangle = 10 cm

Breadth of the rectangle = 14 cm

Therefore,

Area of the rectangle = l × b

= 10 cm × 14 cm

$= 140 {cm}^{2}$

Also,

Diameter of the semi circle = 14 cm

Radius of the semi circle = 7 cm

Therefore,

Area of the semi circle

$= \frac{1}{2} \pi {r}^{2}$

$= \frac{1}{2} \times \frac{22}{7} \times 7 \times 7 {cm}^{2}$

$= 11 \times 7 {cm}^{2}$

$= {77cm}^{2}$

By the problem,

Area of the whole figure

= Area of the semi circle + Area of the rectangle

$= {77cm}^{2} + {140cm}^{2}$

$= {217cm}^{2}$

Hence,

Option A is correct for the Area of the figure that is

${217cm}^{2}$