Question

The length of the rectangle is 10cm. if the perimeter is 34cm, find the breadth(cm).

Answer 1

Hint: Here the given statement is describing a rectangle, whose perimeter is given and length of rectangle is also given, to find the breadth of rectangle we need to use the perimeter formulae, which states that sum of all sides of rectangle is equal to perimeter of rectangle.
Formulae Used: Perimeter of rectangle:
\[ \Rightarrow Perimeter = 2(l + b)\]
Here “l” is the length of the rectangle and “b” is the breadth of the rectangle.

Complete step-by-step solution:
The given question need to be solved by using the formulae of the perimeter of rectangle, and as the values are given then simplifying the equation by putting values will give the final output, on solving we get:
\[
   \Rightarrow Perimeter = 2(l + b) \\
   \Rightarrow 34 = 2(10 + b) \\
   \Rightarrow 10 + b = \dfrac{{34}}{2} = 17 \\
   \Rightarrow b = 17 - 10 = 7cm \]
Here we got the final answer: the breadth of the rectangle is seven centimeters.
Additional Information: Here we have first used the formula of the perimeter of the rectangle, and then put the values according to the question, and by simplifying we get the possible value of the breadth of the rectangle.

Note: The given question is about rectangle, and the statement is manufactured accordingly, here we need to solve the question by simplifying the statement in order to get the equation based on the statement, to solve such question one’s the equation is simplified then the question will be solved.