Question
Download Solution PDFThe perimeter of a rectangle is 40 cm, and the difference between its length (l) and breadth (b) is 6 cm. What is the area of the rectangle?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Perimeter (P) = 40 cm
Difference between length and breadth = l - b = 6 cm
Perimeter formula for a rectangle:
P = 2(l + b)
Substituting the given perimeter:
2l + b = 40
l + b = 20.......................(Equation 1)
Given difference:
l - b = 6............................(Equation 2)
Add Equation 1 and Equation 2:
(l + b) + (l - b) = 20 + 6
2l = 26
l = 13cm
Substitute l = 13 into Equation 1:
13 + b = 20
b = 7cm
A = l × b = 13 × 7 = 91cm2
Thus, the correct answer is 91 cm²
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