Question

if length and breadth of a rectangle are 4 cm and 3 cm then the length of the diagonals is dash CM​

Answer 1

Answer:

We use pythagoras theorem,

Diagonal is the hypotenuse, length and breadth are the other two sides.

3² + 4² = D²

9 + 16 = D²

25 = D²

D = √25

D = 5 cm

Length of the diagonal is 5 cm.

#WMK

Answer 2

$\huge{\underline{\underline{\bf{Solution}}}}$

$\rule{200}{2}$

$\tt given\begin{cases} \sf{Length \: of \: the \: rectangle \: is \: 4 \: cm.} \\ \sf{Breadth \: of \: the \: rectangle \: is \: 3 \: cm} \end{cases}$

$\rule{200}{2}$

$\Large{\underline{\underline{\bf{To \: Find :}}}}$

We have to find the Diagonal of the rectangle.

$\rule{200}{2}$

$\Large{\underline{\underline{\bf{Explanation :}}}}$

We know that,

$\Large{\star{\boxed{\sf{(Length)^2 + (Breadth)^2 = (Diagonal)^2}}}}$

_______________[Put Values]

$\sf{→(4)^2 + (3)^2 = (Diagonal)^2} \\ \\ \sf{→Diagonal = \sqrt{16 + 9}} \\ \\ \sf{→Diagonal = \sqrt{25}} \\ \\ \sf{→Diagonal = 5} \\ \\ \sf{\therefore \: Diagonal \: of \: rectangle \: is \: 5 \: cm}$