Question

Find the length of the diagonal of a rectangle PQRS whose length and breadth are 24 m and 7 m, respectively.​

Answer 1

Answer:

The length of the diagonal of a rectangle PQRS is = 25

Step-by-step explanation:

$\pink{\ggg}\red{\underline{Question:-}}$

Find the length of the diagonal of a rectangle PQRS whose length and breadth are 24 m and 7 m, respectively.​

$\pink{\ggg}\red{\underline{Solution:-}}$

They given,

Length = 24m

Breadth = 7m

We should find  by using the Pythagoras theorem,

$\red{\boxed{Diagonal^2 = (Length+Breadth)^2}}$

$\Rightarrow Diagonal = \sqrt{(24+7)^2}$

$\Rightarrow Diagonal =\sqrt{24^2+7^2}$

$\Rightarrow Diagonal =\sqrt{(576+49)}$

$\Rightarrow Diagonal =\sqrt{625}$

$\Rightarrow Diagonal = 25$

625 is a perfect square of 25 (25 x 25 = 625)

$\bold{ Length\: of\: the\: diagonal\: of\: a\: rectangle\: PQRS\: = 25}$