Question

the area of a rectangle is 96 cm2 . if the breadth of the rectangle is 8 cm, find its length and perimeter

Answer 1

Answer:

the perimeter of rectangle is 40 cm.

STEP BY STEP EXPLANATION:

Length of rectangle = 8 cm.

Width of rectangle is w cm.

Area of rectangle = 96 cm^2

Area of rectangle = length × width

96 cm^2 = 8 cm × w cm.

8w = 96

w = 96/8

w = 12 cm.

The width of rectangle is 12cm.

Now Perimeter of rectangle

Perimeter = 2 (length + width)

Perimeter = 2 ( 8 cm. + 12 cm)

Perimeter = 2 ( 20 cm)

Perimeter = 40 cm.

Answer 2

Answer: Length is 12 cm and Perimeter is 40 cm.

Given:

$\sf\text{Area of the rectangle (A) = 96 cm}^2$

$\sf\text{Breadth of the rectangle (b) = 8 cm}$

To find:

$\sf\text{Length (l) and perimeter(P) of the rectangle.}$

Explanation:

$\sf\text{We know that,}$

$\sf\text{Area of rectangle = Length\times Breadth}$$\textbf{\boxed{\sf Area\:of\:rectangle\:=\:Length\times Breadth}}$

$\sf\text{According to the question,}$

$\sf 96=l\times8$

$\sf l=\frac{96}{8}$

$\sf\textbf{ Length(l)=12\:cm}$

$\sf\text{We also know that,}$

$\textbf{\boxed{\sf\text{Perimeter of rectangle = 2(l+b)}}}$

$\sf\text{According to the question,}$

$\sf P=2(12+8)$

$\sf P=2(20)$

$\sf \textbf{Perimeter(P)=40\;cm}$

Therefore, the length of the rectangle is 12 cm and the perimeter is 40 cm.

More to know:

Area can be defined as the space occupied by a flat shape or the surface of an object.

Perimeter can be defined as the path or the boundary that surrounds a shape.