Question
The breadth of a rectangle is increased by 10 cm, it
will become twice the length of the rectangle. If the new perimeter is 336 cm, then find the original area (in sq.cm) of the rectangle.Solution
ATQ, Increase in breadth equation: B+10=2L New perimeter equation: 2(L+B+10) = 336,Simplifies to [L+B=158] Solving these equations: From equation 1, B=2L−10 Substituting B in equation 2, L+(2L−10)= 158 Simplifying,3L=168, So,L=56cm Substitute L back into B=2L−10, B=2(56)–10 = 102 cm Original area calculation: Area = L×B = 56 × 102 = 5712 sq.cm
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