Question

The area of a rectangle is √128 square meters and its length is 4m. Find the breadth

Answer 1

Breadth of the rectangle = 2√2 metre

Given :

The area of a rectangle is √128 square meters and its length is 4 metre

To find :

The breadth of the rectangle

Formula :

Area of a rectangle = Length × Breadth

Solution :

Step 1 of 2 :

Form the equation to calculate breadth of the rectangle

Area of the rectangle = √128 square meters

Length = 4 metre

Let breadth of the rectangle = b metre

By the given condition

Length × Breadth = Area of the rectangle

$\displaystyle \sf{ \implies }4 \times b = \sqrt{128}$

Step 2 of 2 :

Calculate breadth of the rectangle

$\displaystyle \sf 4 \times b = \sqrt{128}$

$\displaystyle \sf{ \implies }4 \times b = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2}$

$\displaystyle \sf{ \implies }4 \times b = \sqrt{ {2}^{2} \times {2}^{2} \times {2}^{2} \times 2 }$

$\displaystyle \sf{ \implies }4 \times b = 8 \sqrt{2}$

$\displaystyle \sf{ \implies }b = \frac{8 \sqrt{2} }{4}$

$\displaystyle \sf{ \implies }b = 2 \sqrt{2}$

Hence breadth of the rectangle = 2√2 metre

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If the side of equilateral triangle is 10.5 cm Find the perimeter

https://brainly.in/question/7683252

2. Find the circumference of a circle whose diameter is 8.6 cm(Take π as 22/7)

https://brainly.in/question/9217878

#SPJ2

Answer 2

$breadth= 2\sqrt{2}$

Given:

Area of a rectangle = √128 $m^{2}$

length = 4m

Formula:

$Area\ of\ rectangle = length\times breadth$

$\sqrt{128} = 4\times breadth$

$breadth=\frac{\sqrt{128} }{4} \\breadth=\sqrt{\frac{128}{16} } \\breadth=\sqrt{8} \\breadth=\sqrt{4\times 2} \\breadth= 2\sqrt{2}$

For more such questions, click on the below links.

https://brainly.in/question/892370

https://brainly.in/question/14528973

#SPJ2