Question

find the length of a rectangle whose perimeter is 74 m and width 14m

Answer 1

Question:-

find the length of a rectangle whose perimeter is 74 m and width 14m.

Answer:-

• The length of rectangle is 23 m

To find:-

• Length of rectangle

Solution:-

• Perimeter of rectangle = 74 m
• Breadth of rectangle = 14 m

As we know,

$\large{ \boxed{ \mathfrak{perimeter(rectangle) = 2(l + b)}}}$

Where,

• l = length of rectangle
• b = breadth of rectangle

According to question,

$\large{ \rm : \implies \: \: \: \: \: \: 2(l + 14) = 74}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: l + 14 = \frac{74}{2} }$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: l + 14 = 37}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: l = 37 - 14}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: l = 23}$

Hence,

The length of rectangle is 23 m