If length of a rectangle is decreased by 8 cm, we get a square and the area of the square so formed is 224 square cm less than the area of the square formed, when breadth of the original rectangle is increased by 8 cm. Find the perimeter of the rectangle?
Answer & explanation
Correct answer: option 2
The difference between l and b = 8
Let b = x
l = x + 8
Square₁ = (x)²
Square₂ = (x + 8)²
Difference = 224
(x + 8)² - (x)² = 16x + 64 = 224
16x = 160 or x = 10
l = 18, b = 10
Perimeter = 2(l + b) = 2 x 28 = 56cm