Question

The area of two equal circles in the figure
is 308 cm². Find the area of the rectangle.

Please tell me quickly​

Answer 1

Step-by-step explanation:

find the radius of circle so that 2r=breath

and 4r=length

area of ractangle will be equal to length and breath

Answer 2

$\sf\huge\underline{Answer :-}$

Given :

• Area of two equal circles = 308 cm²

To find :

• Area of the rectangle

Solution :

$\sf Area \: of \: two \: circles \: = \: 308 \: {cm}^{2}$

$\sf \therefore Area \: of \: one \: circle \: \rightarrow \dfrac{308}{2} = 154 {cm}^{2}$

$\sf\longrightarrow \pi {r}^{2} = 154 {cm}^{2}$

$\sf\longrightarrow \dfrac{22}{7} {r}^{2} = 154$

$\sf\longrightarrow {r}^{2} = 154 \times \dfrac{7}{22}$

$\sf\longrightarrow {r}^{2} = {\cancel {154}} \times \dfrac{7}{{\cancel {22}}}$

$\sf\longrightarrow {r}^{2} = 7 \times 7$

$\sf\longrightarrow {r}^{2} = 49$

$\sf\longrightarrow r = \sqrt{49}$

$\sf\longrightarrow r = 7$

.°. Radius of one circle is = 7 cm

Diameter of one circle => Breadth of the rectangle = (2 × 7) cm = 14 cm

Diameter of two circles => Length of the rectangle = (14 × 2) cm = 28 cm

Now,

$\sf\underline {Area \: of \: rectangle \: = \: (length \times breadth) \: {unit}^{2}}$

$\sf\longrightarrow (14 \times 28) {cm}^{2}$

$\sf\therefore 392 {cm}^{2}$

Hence, the area of the rectangle is 392 cm².