Question

Solved Examples 1 Example 1: The length of a rectangular metallic sheet is twice its breadth. Find the length and breadth of the rectangular sheet, if its area is 4050 sq. cm.


how do we get 45..
​

Answer 1

Step-by-step explanation:

let the breadth of metallic sheet be $b$.

let the length of metallic sheet be $l$.

since the length of metalic sheet is twice its breadth let $l$ = $2b$.

Area of metallic sheet = $l\times b = 2b \times b = 2 {b}^{2}$

since area of metalic sheet is already given $4050cm^2$,

therefore,

$2b^2 = 4050cm^2$

=> $b^2 = \frac{4050 {cm}^{2} }{2}$

=> $b^2 = 2025cm^2$

=> $b = \sqrt{2025 {cm}^{2} }$

=> $b = 45cm$

since $l = 2b$

therefore,

$l = 2 \times 45cm = 90cm$

thus, Length of metallic sheet is $90cm$ and breadth is $45cm$.