Question

The area of a rectangular field is 15 times the sum of its length and breadth. If the length of that field is 40 m, what is the breadth of that field?

• A. 24 m
• B. 25 m
• C. 28 m
• D. 32 m

Hint:

When a word problem includes expressions like "area is multiple of sum of dimensions", set up an equation using both the area formula and the given relationship for easy solving.

Answer 1

The Correct Option is A

Let breadth be \( b \).
Given: Area = \( 15 \times (\text{Length} + \text{Breadth}) \)
Area of rectangle = \( \text{Length} \times \text{Breadth} = 40 \times b \)
Also, Area = \( 15 \times (40 + b) \)
Equating both expressions:
\( 40b = 15(40 + b) \)
\( 40b = 600 + 15b \)
\( 40b - 15b = 600 \)
\( 25b = 600 \)
\( b = \dfrac{600}{25} = \boxed{24 \text{ m}} \)