Question

The length of a rectangular box with square ends is 5cm greater than the breath.if the total length of edges is 204cm. determine the dimensions of t box.

Answer 1

$\sf\small\underline\red{Given:-}$

$\bullet\rm \: Length = 5cm.$

$\bullet\rm \: Length \: of \: edges = 204cm.$

$\sf\small\underline\red{Find:-}$

$\bullet \rm \: Determine \: the \: dimensions \: of \: the \: box.$

$\sf\small\underline\red{Solution:-}$

Total length of edges = 2 × ( b + 5 ) + 2ab

= 4ab + 10.

Now,

According to the question. it is equal to 204cm.

$\rm\mapsto \: 4b + 10 = 204cm.$

$\rm\mapsto4b = 204 - 10$

$\rm\mapsto4b = 194$

$\rm\mapsto \: b = \frac{194}{4}$

$\rm\mapsto \cancel\frac{87}{2}$

$\rm\dashrightarrow \fbox \red{breath = 43.5cm}$

So,

Length

$\rm\mapsto \: b + 5$

$\rm\mapsto \: 43.5 + 5$

$\rm \dashrightarrow \fbox \red{length = 48.5}$

@Shivam.