Question

The length and perimeter of a rectangle are 15 cm and 50 cm
respectively. Then its breadth is
A. 15 B. 50 C. 10 D. 20
​

Answer 1

10

cox length = 15. . perimeter = 2(l+b)

50=2(15+b)

b=10

Answer 2

Answer:

Given :-

• The length and perimeter of a rectangle are 15 cm and 50 cm respectively.

To Find :-

• What is the breadth of a rectangle.

Formula Used :-

${\red{\boxed{\bold{\small{Perimeter\: of\: Rectangle =\: 2(Length + Breadth)}}}}}$

Solution :-

Let, the breadth of a rectangle be x

Given :

• Length of a rectangle = 15 cm
• Perimeter of a rectangle = 50 cm

According to the question by using the formula we get,

⇒ $\sf 2(15 + x) =\: 50$

⇒ $\sf 30 + 2x =\: 50$

⇒ $\sf 2x =\: 50 - 30$

⇒ $\sf 2x =\: 20$

⇒ $\sf x =\: \dfrac{\cancel{20}}{\cancel{2}}$

➠ $\sf\bold{\purple{x =\: 10\: cm}}$

$\therefore$ The breadth of a rectangle is 10 cm . Hence, the correct options is option no (C) 10 cm.

${\underline{\boxed{\large{\bf{VERIFICATION :-}}}}}$

↦ $\sf 2(15 + x) =\: 50$

By putting x = 10 we get,

↦ $\sf 2(15 + 10) = 50$

↦ $\sf 30 + 20 =\: 50$

↦ $\sf 50 =\: 50$

➦ LHS= RHS

Hence, Verified ✔