Question : The difference between the length and breadth of a rectangle is 40 metres. If its perimeter is 96 metres, then what will be the area of the rectangle?
Option 1: 254 m²
Option 2: 110 m²
Option 3: 176 m²
Option 4: 152 m²

Question

Question : The difference between the length and breadth of a rectangle is 40 metres. If its perimeter is 96 metres, then what will be the area of the rectangle?

Option 1: 254 m²

Option 2: 110 m²

Option 3: 176 m²

Option 4: 152 m²

Team Careers360 · Accepted Answer

Correct Answer: 176 m²

Solution : Let $l$ be the length and $b$ be the breadth.
$l-b = 40$
⇒ $l = 40+b$ ---------(i)
Perimeter = 96 m
$2(l+b) = 96$
⇒ $2(40+b+b) = 96$
⇒ $40+2b = 48$
⇒ $2b = 48-40 = 8$
⇒ $b = 4$
⇒ $l = 40+4 = 44$
Area = $lb = 4×44 = 176$
Hence, the correct answer is 176 m².

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Question : The difference between the length and breadth of a rectangle is 40 metres. If its perimeter is 96 metres, then what will be the area of the rectangle?Option 1: 254 m2Option 2: 110 m2Option 3: 176 m2Option 4: 152 m2

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Question : The difference between the length and breadth of a rectangle is 40 metres. If its perimeter is 96 metres, then what will be the area of the rectangle?
Option 1: 254 m²
Option 2: 110 m²
Option 3: 176 m²
Option 4: 152 m²