Question

find the diagonal of a rectangle whose length is 16cm and area is 192sq.cm

Answer 1

hello.......

hope the attachment helps you ☺

keep smiling ☺

Answer 2

Answer:

Step-by-step explanation:

The length of the rectangle is= 16 cm,

Area of the rectangle=$192cm^{2}$

$l{\times}b=192$

$16{\times}b=192$

$b=12 cm$

Thus, breadth of the rectangle =12 cm

Now, from the figure, $(BD)^{2}=(BC)^{2}+(CD)^{2}$

$(BD)^{2}=(16)^{2}+(12)^{2}$

$(BD)^{2}=256+144=400$

$BD=20 cm$

Thus, the diagonal of the rectangle=20 cm.