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, then what is the breadth of that field?

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

Answer 1

Answer:

A. 24 m

Solution:

Given:

The area of a rectangular field is 15 times the sum of its length and breadth.

The length of that field = 40 m

Formula Used:

Area = Lengh × Breadth 

Calculation:

Let's denote the length of the field L and the breadth B.

According to the question, Area = 15 × (L + B)

⇒ L ×  B = 15 × (L + B)

⇒ 40 × B = 15 × (40+ B)

⇒ 40B = 600 + 15B

⇒ 40B - 15B = 600

⇒ 25B = 600

⇒$B=\frac{600}{25}=24m$

∴ The breadth of the field is 24 meters.