Question 71
The perimeter of square is 48cm. The area of a rectangle is 4 $$cm^{2}$$ less than the area of the square .If the length of the rectangle is 14 cm. then its perimeter is:
Solution
Perimeter of square: 4 × side length = 48 cm → side length = 12 cm.
Area of square: Square of the side length = 12^2 = 144 cm^2
Area of rectangle: 4 cm^2 less than the area of the square, i.e. 144 - 4 = 140 cm^2
Area = length × width
Length = 14 cm
Area = 140
So, width = 140/14 = 10 cm
Perimeter of rectangle: 2 × (14+10) = 48 cm
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