Question

g d galuell with length 53 m and breadth 45 m at the rate of 40 per
3. The area of a rectangle is 150 m². If its length is 15 m, find its breadth and perimeter.​

Answer 1

$\red{ \underline{ \underline{ \orange { \sf Question : }}}}$

Q. 3. The area of a rectangle is 150 m². If its length is 15 m, find its breadth and perimeter.

$\red{ \underline{ \underline{ \orange { \sf Given : }}}}$

• Area the rectangle is 150m² .
• Length is the 15m.

$\red{ \underline{ \underline{ \orange { \sf To \: find : }}}}$

➠ The length and the perimeter of the rectangle.

$\red{ \underline{ \underline{ \orange { \sf Solution : }}}}$

We know that,

$\bold \gray\dag{ \underline{ \boxed{ \bf{ \blue{area \: of \: the \: rectangle = l \times b}}}}} \bold \gray\dag$

Where,

l (length) = 15m.

b (breadth) = x metre [assuming]

And, Area = 150m²

Procedure :

Substituting the given values as follows :

$<strong> </strong>\sf \longmapsto area \: of \: the \:rectangle = l \times b$

$\sf \longmapsto {150m}^{2} = 15 \times x$

$\sf \longmapsto \frac{ \cancel{150}}{ \cancel{15}} = x$

${ \pink{ \sf { \red{\longmapsto}}}}{ \sf{ \pink{ x = 10m}}}$

After solving the sum we get :

➠ Breadth = x = 10m

Now,

Again it is told to find the perimeter of the rectangle

Again,

We know that,

$\bold \gray \dag{ \underline{ \boxed{ \bf{ \blue{ Perimeter \: of \:a \: rectangle = 2(l + b)}}}}} \bold \gray \dag$

Where,

l (length) = 15m.

b (breadth) = 10m.

Proceeding by substitutions of the given values as follows :

$\sf \longmapsto Perimeter \: of \:a \: rectangle = 2(l + b)$

$\sf \longmapsto Perimeter \: of \:a \: rectangle = 2(15 + 10)$

$\sf \longmapsto Perimeter \: of \:a \: rectangle = 2(25)$

$\bf \longmapsto Perimeter \: of \:a \: rectangle = { \underline{50 \: metres}}$

${ \underline{ \boxed{ \red \odot { \blue{ \bf {\mid } \: Required \: answers : }}}}}$

${ \underline{ \boxed{ \red\odot { \orange{ \bf {\mid } \: breadth \: of \: the \: rectangle \to \red{ 10m} \gray{ { \boxed{\checkmark}}}}}}}}$

${ \underline{ \boxed{ \red\odot { \orange{ \bf {\mid } \: Perimeter \: of \: the \: rectangle \to \red{ 50m} \gray{ { \boxed{\checkmark}}}}}}}}$