Question
Download Solution PDFThe areas of a square and a rectangle are equal. The length of the rectangle is greater than the length of any side of the square by 4 cm and the breadth is less by 3 cm. find the perimeter of the rectangle.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFAs we see in the figure,
Let, side of the square = a cm.
∴ length of the rectangle = (a + 4) cm.
Breadth of the rectangle = (a – 3) cm.
According to problem,
⇒ a2 = (a + 4) (a – 3)
⇒ a2 = a2 + 4a – 3a – 12
⇒ a = 12
∴ length of the rectangle = 12 + 4 = 16 cm.
Breadth of the rectangle = 12 – 3 = 9 cm.
∴ Perimeter of the rectangle = 2 × (16 + 9) = 50 cm.
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