Question

''Great bakers'' want to bake a cake to make a world record. They decided to make a rectangular cake where the length of the cake should be three times it's breadth and with a perimeter 120 feet. How long will be the cake?

• A. 25
• B. 30
• C. 45
• D. 60

Answer 1

The correct option is C 45

Step 1: Underline key words
''Great bakers'' want to bake a cake to make a world record. They decided, the length of the cake should be three times it's breadth and with a perimeter 120 feet.

Step 2 :
Recognize/Define the variables : Length (l, say) and breadth (b, say)
Decipher the relation b/w variables : l = 3b …(1)

Also Perimeter = 120 feet.
Thus, 2( l + b) = 120
l + b = 60
Putting the value of l from (1) in the equation
3b + b = 60
4b = 60
b = 15
Thus, $l=3\times 15=45$

Therefore, the correct answer is 45.